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	8880n	Isogeny class
Conductor	8880	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-7469088768000000000 = -1 · 223 · 32 · 59 · 373	Discriminant
Eigenvalues	2- 3+ 5+  1 -3  2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-117824576,492307676160]	[a1,a2,a3,a4,a6]
Generators	[6266:222:1]	Generators of the group modulo torsion
j	-44164307457093068844199489/1823508000000000	j-invariant
L	3.4562049581577	L(r)(E,1)/r!
Ω	0.17438050492874	Real period
R	1.6516587101533	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	1110n2 35520cu2 26640bz2 44400cg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880n2

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	-3	2	3	-2	0	-3	1	-	9	-11	0	-9	6	-1	-8	12	8	4	6	-6	-13

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Quadratic twists for elliptic curve 8880n2

-4	8	-3	5
1110n2	35520cu2	26640bz2	44400cg2

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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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