Cremona's table of elliptic curves

7950 = 2 · 3 · 5² · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 53-	Signs for the Atkin-Lehner involutions
Class	7950bh	Isogeny class
Conductor	7950	Conductor
∏ cp	33	Product of Tamagawa factors cp
deg	88704	Modular degree for the optimal curve
Δ	-24891697712332800 = -1 · 233 · 37 · 52 · 53	Discriminant
Eigenvalues	2- 3+ 5+ -3  0  2  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-496003,-134875039]	[a1,a2,a3,a4,a6]
Generators	[1219:32158:1]	Generators of the group modulo torsion
j	-539804707947581305945/995667908493312	j-invariant
L	4.9885208990114	L(r)(E,1)/r!
Ω	0.089939500519491	Real period
R	1.6807665052274	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	63600dc1 23850t1 7950z1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7950bh1

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
-	+	+	-3	0	2	4	-4	-5	1	-4	8	-3	8	-2	-	-3	1	-9	-8	8	-10	-4	-4	-13

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Quadratic twists for elliptic curve 7950bh1

-4	-3	5
63600dc1	23850t1	7950z1

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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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