Cremona's table of elliptic curves

9880 = 2³ · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	9880g	Isogeny class
Conductor	9880	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1248	Modular degree for the optimal curve
Δ	-494000 = -1 · 24 · 53 · 13 · 19	Discriminant
Eigenvalues	2+ -1 5- -5 -2 13+  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5,32]	[a1,a2,a3,a4,a6]
Generators	[-1:5:1]	Generators of the group modulo torsion
j	702464/30875	j-invariant
L	2.7982224487405	L(r)(E,1)/r!
Ω	2.2323586768986	Real period
R	0.20891374354382	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	19760g1 79040k1 88920bh1 49400v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9880g1

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	-	-5	-2	+	0	-	-4	8	3	4	5	12	-7	-6	-4	13	12	-3	-6	-4	-9	-1	-2

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Quadratic twists for elliptic curve 9880g1

-4	8	-3	5	13
19760g1	79040k1	88920bh1	49400v1	128440m1

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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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