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	16	Product of Tamagawa factors cp
Δ	30689280 = 211 · 34 · 5 · 37	Discriminant
Eigenvalues	2+ 3- 5+  0  0 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7896,267444]	[a1,a2,a3,a4,a6]
Generators	[42:108:1]	Generators of the group modulo torsion
j	26587051663538/14985	j-invariant
L	4.8766981025019	L(r)(E,1)/r!
Ω	1.7166210076068	Real period
R	0.71021764281281	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	4440b3 35520bx4 26640n4 44400a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880g4

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 8880g4

-4	8	-3	5
4440b3	35520bx4	26640n4	44400a4

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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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