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	9880h	Isogeny class
Conductor	9880	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-133577600000 = -1 · 210 · 55 · 133 · 19	Discriminant
Eigenvalues	2+  1 5-  1  4 13- -8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1040,-11600]	[a1,a2,a3,a4,a6]
Generators	[60:520:1]	Generators of the group modulo torsion
j	121368536636/130446875	j-invariant
L	5.8002819959682	L(r)(E,1)/r!
Ω	0.5618268859325	Real period
R	0.34413221944343	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	19760j1 79040e1 88920bi1 49400l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9880h1

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	-	1	4	-	-8	+	6	-10	-1	-2	-9	6	3	-14	-12	-1	-8	5	6	2	7	-7	-12

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Quadratic twists for elliptic curve 9880h1

-4	8	-3	5	13
19760j1	79040e1	88920bi1	49400l1	128440q1

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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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