Cremona's table of elliptic curves

5110 = 2 · 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 73-	Signs for the Atkin-Lehner involutions
Class	5110h	Isogeny class
Conductor	5110	Conductor
∏ cp	308	Product of Tamagawa factors cp
deg	14784	Modular degree for the optimal curve
Δ	-28043680000000 = -1 · 211 · 57 · 74 · 73	Discriminant
Eigenvalues	2- -2 5- 7- -4 -4  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1330,254212]	[a1,a2,a3,a4,a6]
Generators	[364:-7182:1]	Generators of the group modulo torsion
j	260170604658719/28043680000000	j-invariant
L	4.2301016869	L(r)(E,1)/r!
Ω	0.51041526508528	Real period
R	0.026907691296702	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	40880ba1 45990u1 25550b1 35770v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5110h1

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
-	-2	-	-	-4	-4	5	1	-3	5	-1	7	-3	-1	-12	-14	-2	0	2	-8	-	-4	-4	-3	4

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Quadratic twists for elliptic curve 5110h1

-4	-3	5	-7
40880ba1	45990u1	25550b1	35770v1

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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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