Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 11+ 23-	Signs for the Atkin-Lehner involutions
Class	3542d	Isogeny class
Conductor	3542	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	17920	Modular degree for the optimal curve
Δ	-2132733310124032 = -1 · 214 · 75 · 114 · 232	Discriminant
Eigenvalues	2+  0  2 7- 11+  0  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-118391,-15806371]	[a1,a2,a3,a4,a6]
Generators	[910:24633:1]	Generators of the group modulo torsion
j	-183519341483677631433/2132733310124032	j-invariant
L	2.8933860698688	L(r)(E,1)/r!
Ω	0.12859944497147	Real period
R	2.2499211178639	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28336v1 113344bw1 31878bo1 88550be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	2	-	+	0	0	-2	-	-6	2	-2	2	0	-2	10	-8	-14	-8	-12	2	0	-6	8	-8

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Quadratic twists for elliptic curve 3542d1

-4	8	-3	5	-7	-11	-23
28336v1	113344bw1	31878bo1	88550be1	24794e1	38962bc1	81466j1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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