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	8880y	Isogeny class
Conductor	8880	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	2427570000 = 24 · 38 · 54 · 37	Discriminant
Eigenvalues	2- 3- 5+ -4  4  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7681,256550]	[a1,a2,a3,a4,a6]
Generators	[62:150:1]	Generators of the group modulo torsion
j	3132662187311104/151723125	j-invariant
L	4.5603793104171	L(r)(E,1)/r!
Ω	1.3670445868715	Real period
R	0.83398510813275	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	2220b1 35520cj1 26640bw1 44400bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880y1

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
-	-	+	-4	4	2	2	2	-6	-6	-10	+	-2	2	4	10	10	2	-4	-12	-2	-6	0	-6	2

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Quadratic twists for elliptic curve 8880y1

-4	8	-3	5
2220b1	35520cj1	26640bw1	44400bm1

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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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