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	7579b	Isogeny class
Conductor	7579	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-8.7106391396144E+19	Discriminant
Eigenvalues	0  1  3  2 11+ 13-  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,475871,431053485]	[a1,a2,a3,a4,a6]
Generators	[213045:9839202:125]	Generators of the group modulo torsion
j	11917646998307163865088/87106391396144390699	j-invariant
L	5.0518475637773	L(r)(E,1)/r!
Ω	0.13936128880702	Real period
R	1.5104169191647	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	121264q2 68211e2 83369c2 98527k2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 7579b2

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
0	1	3	2	+	-	0	-4	-3	0	-7	-1	0	-4	0	-	9	-10	-13	15	2	-10	-6	-9	-19

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Quadratic twists for elliptic curve 7579b2

-4	-3	-11	13
121264q2	68211e2	83369c2	98527k2

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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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