Cremona's table of elliptic curves

1425 = 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	1425b	Isogeny class
Conductor	1425	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-348201421875 = -1 · 32 · 56 · 195	Discriminant
Eigenvalues	2 3+ 5+ -3 -3  6 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-109758,-13959457]	[a1,a2,a3,a4,a6]
Generators	[606254802:-33588172235:195112]	Generators of the group modulo torsion
j	-9358714467168256/22284891	j-invariant
L	4.11087149417	L(r)(E,1)/r!
Ω	0.13114753163997	Real period
R	15.672698688128	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	22800di2 91200dx2 4275i2 57c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1425b2

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	+	+	-3	-3	6	-3	+	-4	-10	2	-8	-8	1	-3	6	0	7	-8	12	11	0	-4	10	2

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Quadratic twists for elliptic curve 1425b2

-4	8	-3	5	-7	-19
22800di2	91200dx2	4275i2	57c2	69825ca2	27075u2

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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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