Cremona's table of elliptic curves

1120 = 2⁵ · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	1120h	Isogeny class
Conductor	1120	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-421654016000 = -1 · 212 · 53 · 77	Discriminant
Eigenvalues	2+ -1 5- 7- -5  5 -5  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1485,38725]	[a1,a2,a3,a4,a6]
Generators	[15:140:1]	Generators of the group modulo torsion
j	-88478050816/102942875	j-invariant
L	2.2947276337894	L(r)(E,1)/r!
Ω	0.85505171864685	Real period
R	0.063898324559298	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	1120f1 2240u1 10080bs1 5600o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1120h1

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	5	-5	0	-8	-1	-2	4	2	-4	-13	-8	-4	-2	8	12	-6	-11	-8	-18	-5

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Quadratic twists for elliptic curve 1120h1

-4	8	-3	5	-7
1120f1	2240u1	10080bs1	5600o1	7840d1

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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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