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	8880g	Isogeny class
Conductor	8880	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	315417600 = 210 · 32 · 52 · 372	Discriminant
Eigenvalues	2+ 3- 5+  0  0 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-496,4004]	[a1,a2,a3,a4,a6]
Generators	[-16:90:1]	Generators of the group modulo torsion
j	13205172676/308025	j-invariant
L	4.8766981025019	L(r)(E,1)/r!
Ω	1.7166210076068	Real period
R	1.4204352856256	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4440b2 35520bx2 26640n2 44400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880g2

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	-2	-2	4	0	2	-4	-	-6	0	-4	6	-12	-6	-12	16	2	12	-12	-2	14

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Quadratic twists for elliptic curve 8880g2

-4	8	-3	5
4440b2	35520bx2	26640n2	44400a2

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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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