Cremona's table of elliptic curves

5520 = 2⁴ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 23-	Signs for the Atkin-Lehner involutions
Class	5520be	Isogeny class
Conductor	5520	Conductor
∏ cp	576	Product of Tamagawa factors cp
deg	414720	Modular degree for the optimal curve
Δ	-1.4599243771085E+22	Discriminant
Eigenvalues	2- 3- 5-  2 -2 -2  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-364440,5813802900]	[a1,a2,a3,a4,a6]
Generators	[-1380:60750:1]	Generators of the group modulo torsion
j	-1306902141891515161/3564268498800000000	j-invariant
L	5.0349016789839	L(r)(E,1)/r!
Ω	0.10034828719182	Real period
R	0.34843240449245	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	690c1 22080bx1 16560bj1 27600bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520be1

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

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Quadratic twists for elliptic curve 5520be1

-4	8	-3	5	-23
690c1	22080bx1	16560bj1	27600bh1	126960co1

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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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