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	8880x	Isogeny class
Conductor	8880	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	515747152228515840 = 223 · 38 · 5 · 374	Discriminant
Eigenvalues	2- 3- 5+  4 -4  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5733089736,167080688257140]	[a1,a2,a3,a4,a6]
Generators	[58185204:-197694:1331]	Generators of the group modulo torsion
j	5087799435928552778197163696329/125914832087040	j-invariant
L	5.3406850103491	L(r)(E,1)/r!
Ω	0.10558812386425	Real period
R	6.3225446372351	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	1110c3 35520ch4 26640bu4 44400bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880x3

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	-8	0	-6	8	+	-6	-4	12	-6	0	-6	-12	0	-6	8	-4	-14	6

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Quadratic twists for elliptic curve 8880x3

-4	8	-3	5
1110c3	35520ch4	26640bu4	44400bo4

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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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