Cremona's table of elliptic curves

35904 = 2⁶ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	35904ca	Isogeny class
Conductor	35904	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	737280	Modular degree for the optimal curve
Δ	1812841780689764352 = 226 · 35 · 113 · 174	Discriminant
Eigenvalues	2- 3+ -2 -4 11- -6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-529889,133764225]	[a1,a2,a3,a4,a6]
Generators	[-53:12716:1]	Generators of the group modulo torsion
j	62768149033310713/6915442583808	j-invariant
L	2.3390784536379	L(r)(E,1)/r!
Ω	0.25598672020974	Real period
R	1.5229165349688	Regulator
r	1	Rank of the group of rational points
S	0.99999999999952	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35904bb1 8976x1 107712dv1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 35904ca1

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
-	+	-2	-4	-	-6	+	4	0	-2	0	10	-10	-4	-4	2	0	-2	12	0	-10	-4	-12	-14	18

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Quadratic twists for elliptic curve 35904ca1

-4	8	-3
35904bb1	8976x1	107712dv1

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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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