Cremona's table of elliptic curves

7579 = 11 · 13 · 53

Field	Data	Notes
Atkin-Lehner	11+ 13- 53-	Signs for the Atkin-Lehner involutions
Class	7579c	Isogeny class
Conductor	7579	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1083797 = 112 · 132 · 53	Discriminant
Eigenvalues	-1  0  0  0 11+ 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-280,-1730]	[a1,a2,a3,a4,a6]
Generators	[20:9:1]	Generators of the group modulo torsion
j	2419596140625/1083797	j-invariant
L	2.4501300759244	L(r)(E,1)/r!
Ω	1.1674625701678	Real period
R	2.0986797680137	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	121264p2 68211f2 83369d2 98527l2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 7579c2

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	0	0	+	-	6	0	4	6	-10	-2	-2	-8	0	-	12	-4	6	6	-2	-10	12	6	14

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Quadratic twists for elliptic curve 7579c2

-4	-3	-11	13
121264p2	68211f2	83369d2	98527l2

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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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