Cremona's table of elliptic curves

7935 = 3 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 23-	Signs for the Atkin-Lehner involutions
Class	7935b	Isogeny class
Conductor	7935	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2220538335 = 3 · 5 · 236	Discriminant
Eigenvalues	-1 3+ 5+  0  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-42331,-3369886]	[a1,a2,a3,a4,a6]
j	56667352321/15	j-invariant
L	0.66567902328194	L(r)(E,1)/r!
Ω	0.33283951164097	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	126960cj4 23805t4 39675bc4 15a7	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 7935b3

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	+	+	0	4	-2	-2	-4	-	-2	0	10	10	-4	8	10	-4	2	-12	-8	10	0	-12	6	-2

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Quadratic twists for elliptic curve 7935b3

-4	-3	5	-23
126960cj4	23805t4	39675bc4	15a7

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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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