Cremona's table of elliptic curves

7600 = 2⁴ · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	7600h	Isogeny class
Conductor	7600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	17920	Modular degree for the optimal curve
Δ	4072531250000 = 24 · 59 · 194	Discriminant
Eigenvalues	2+  2 5- -2 -4  0  8 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-15083,-701338]	[a1,a2,a3,a4,a6]
Generators	[-64910:627:1000]	Generators of the group modulo torsion
j	12144109568/130321	j-invariant
L	5.4057823659726	L(r)(E,1)/r!
Ω	0.43107890590889	Real period
R	6.2700613412932	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	3800b1 30400bz1 68400cw1 7600i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7600h1

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

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Quadratic twists for elliptic curve 7600h1

-4	8	-3	5
3800b1	30400bz1	68400cw1	7600i1

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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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