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	7935h	Isogeny class
Conductor	7935	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	101376	Modular degree for the optimal curve
Δ	-2792382469720875 = -1 · 38 · 53 · 237	Discriminant
Eigenvalues	-2 3- 5+  5  2 -6 -1 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-53076,-5367004]	[a1,a2,a3,a4,a6]
Generators	[429:7141:1]	Generators of the group modulo torsion
j	-111701610496/18862875	j-invariant
L	2.8503545848654	L(r)(E,1)/r!
Ω	0.15582987895652	Real period
R	1.1432156833273	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	126960bo1 23805v1 39675p1 345f1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 7935h1

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	-	+	5	2	-6	-1	-2	-	-1	-5	7	-7	8	-12	-9	3	-12	1	5	-2	8	-3	-8	-14

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Quadratic twists for elliptic curve 7935h1

-4	-3	5	-23
126960bo1	23805v1	39675p1	345f1

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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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