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	1425c	Isogeny class
Conductor	1425	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-6853359375 = -1 · 35 · 57 · 192	Discriminant
Eigenvalues	1 3+ 5+  2 -6  0  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,475,0]	[a1,a2,a3,a4,a6]
j	756058031/438615	j-invariant
L	1.5783490643548	L(r)(E,1)/r!
Ω	0.78917453217742	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22800cz1 91200cx1 4275l1 285a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1425c1

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	+	+	2	-6	0	6	-	8	4	0	-4	0	2	8	-2	12	2	8	16	-14	8	0	0	12

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Quadratic twists for elliptic curve 1425c1

-4	8	-3	5	-7	-19
22800cz1	91200cx1	4275l1	285a1	69825br1	27075r1

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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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