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	8880i	Isogeny class
Conductor	8880	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	25344	Modular degree for the optimal curve
Δ	-62437500000000 = -1 · 28 · 33 · 512 · 37	Discriminant
Eigenvalues	2+ 3- 5-  0  0  6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20500,-1198852]	[a1,a2,a3,a4,a6]
j	-3721915550952016/243896484375	j-invariant
L	3.5773463919186	L(r)(E,1)/r!
Ω	0.1987414662177	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4440g1 35520bp1 26640g1 44400c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880i1

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	0	6	2	8	0	-2	-8	-	10	-4	-4	6	4	2	12	8	2	-8	4	10	-18

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Quadratic twists for elliptic curve 8880i1

-4	8	-3	5
4440g1	35520bp1	26640g1	44400c1

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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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