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	256	Product of Tamagawa factors cp
Δ	-3.5946101204592E+26	Discriminant
Eigenvalues	2- 3- 5+  4 -4  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-352256456,2703136688244]	[a1,a2,a3,a4,a6]
Generators	[7582:684288:1]	Generators of the group modulo torsion
j	-1180159344892952613848670409/87759036144023189760000	j-invariant
L	5.3406850103491	L(r)(E,1)/r!
Ω	0.052794061932125	Real period
R	1.5806361593088	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	1110c4 35520ch3 26640bu3 44400bo3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8880x4

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 8880x4

-4	8	-3	5
1110c4	35520ch3	26640bu3	44400bo3

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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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