Cremona's table of elliptic curves

95760 = 2⁴ · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	95760cq	Isogeny class
Conductor	95760	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	746496	Modular degree for the optimal curve
Δ	-5309853696000000 = -1 · 218 · 33 · 56 · 7 · 193	Discriminant
Eigenvalues	2- 3+ 5- 7+  6  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,32013,-2725966]	[a1,a2,a3,a4,a6]
Generators	[103:1290:1]	Generators of the group modulo torsion
j	32807952226197/48013000000	j-invariant
L	7.9420926355542	L(r)(E,1)/r!
Ω	0.22778605036421	Real period
R	2.9055381247595	Regulator
r	1	Rank of the group of rational points
S	0.99999999900466	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11970l1 95760by3	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 95760cq1

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
-	+	-	+	6	2	-6	+	6	6	-8	2	-12	-8	-12	6	6	-4	10	0	-16	10	-12	0	2

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Quadratic twists for elliptic curve 95760cq1

-4	-3
11970l1	95760by3

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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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