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	3542q	Isogeny class
Conductor	3542	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	877735936 = 212 · 7 · 113 · 23	Discriminant
Eigenvalues	2-  1  3 7- 11-  5  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-244,-368]	[a1,a2,a3,a4,a6]
j	1606957644097/877735936	j-invariant
L	5.1593053963488	L(r)(E,1)/r!
Ω	1.2898263490872	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	28336q1 113344ba1 31878n1 88550k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542q1

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
-	1	3	-	-	5	0	5	+	-6	8	-4	-9	-10	3	0	-12	14	-13	6	11	-10	3	-3	17

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Quadratic twists for elliptic curve 3542q1

-4	8	-3	5	-7	-11	-23
28336q1	113344ba1	31878n1	88550k1	24794bp1	38962c1	81466x1

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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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