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	35904cz	Isogeny class
Conductor	35904	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-7960251138048 = -1 · 216 · 310 · 112 · 17	Discriminant
Eigenvalues	2- 3-  0  0 11-  6 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2113,-141505]	[a1,a2,a3,a4,a6]
Generators	[101:828:1]	Generators of the group modulo torsion
j	-15927506500/121463793	j-invariant
L	7.7169744601232	L(r)(E,1)/r!
Ω	0.31099559313762	Real period
R	2.4813774311935	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	35904h2 8976a2 107712df2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 35904cz2

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	0	-	6	-	-2	-4	6	0	2	6	-6	-10	6	-14	0	-12	8	16	-12	-8	-18	-14

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Quadratic twists for elliptic curve 35904cz2

-4	8	-3
35904h2	8976a2	107712df2

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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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