Cremona's table of elliptic curves

4425 = 3 · 5² · 59

Field	Data	Notes
Atkin-Lehner	3+ 5+ 59+	Signs for the Atkin-Lehner involutions
Class	4425c	Isogeny class
Conductor	4425	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	167560382578125 = 3 · 57 · 595	Discriminant
Eigenvalues	2 3+ 5+  2 -3  1 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-483258,-129142957]	[a1,a2,a3,a4,a6]
Generators	[-1526245112414:127147913511:3811036328]	Generators of the group modulo torsion
j	798806778238038016/10723864485	j-invariant
L	6.1731592131388	L(r)(E,1)/r!
Ω	0.18107357102015	Real period
R	17.04599732131	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	70800cq2 13275s2 885d2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4425c2

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	+	+	2	-3	1	-3	-5	6	0	-8	-3	2	11	-8	-9	+	-8	-3	-8	1	-5	6	5	2

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Quadratic twists for elliptic curve 4425c2

-4	-3	5
70800cq2	13275s2	885d2

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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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