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	8880t	Isogeny class
Conductor	8880	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	28800	Modular degree for the optimal curve
Δ	-589234176000000 = -1 · 222 · 35 · 56 · 37	Discriminant
Eigenvalues	2- 3- 5+  0  2 -2  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-18336,1502964]	[a1,a2,a3,a4,a6]
Generators	[84:750:1]	Generators of the group modulo torsion
j	-166456688365729/143856000000	j-invariant
L	4.9740631807013	L(r)(E,1)/r!
Ω	0.4722400648125	Real period
R	1.0532912286204	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	1110i1 35520cc1 26640bl1 44400bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880t1

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

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Quadratic twists for elliptic curve 8880t1

-4	8	-3	5
1110i1	35520cc1	26640bl1	44400bc1

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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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