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	8880o	Isogeny class
Conductor	8880	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-4481453260800 = -1 · 217 · 33 · 52 · 373	Discriminant
Eigenvalues	2- 3+ 5+  1 -3 -7 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,2024,94960]	[a1,a2,a3,a4,a6]
Generators	[18:370:1]	Generators of the group modulo torsion
j	223759095911/1094104800	j-invariant
L	3.1015398473913	L(r)(E,1)/r!
Ω	0.55684676711576	Real period
R	0.46415220346524	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	1110g1 35520cv1 26640cb1 44400ch1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880o1

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	-7	-3	1	3	6	10	-	0	4	12	9	-6	-10	10	6	11	-8	-9	-9	-16

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Quadratic twists for elliptic curve 8880o1

-4	8	-3	5
1110g1	35520cv1	26640cb1	44400ch1

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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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