Cremona's table of elliptic curves

8880 = 2⁴ · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	8880ba	Isogeny class
Conductor	8880	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	41472	Modular degree for the optimal curve
Δ	-1716268931481600 = -1 · 236 · 33 · 52 · 37	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13520,-2087532]	[a1,a2,a3,a4,a6]
Generators	[331:5460:1]	Generators of the group modulo torsion
j	-66730743078481/419010969600	j-invariant
L	5.3449677193941	L(r)(E,1)/r!
Ω	0.1975647055187	Real period
R	4.5090440162049	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	1110k1 35520bq1 26640be1 44400x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880ba1

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

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Quadratic twists for elliptic curve 8880ba1

-4	8	-3	5
1110k1	35520bq1	26640be1	44400x1

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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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