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	1425h	Isogeny class
Conductor	1425	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2290798828125 = 32 · 59 · 194	Discriminant
Eigenvalues	-1 3- 5+ -4  4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-150188,-22415133]	[a1,a2,a3,a4,a6]
j	23977812996389881/146611125	j-invariant
L	0.97006510337117	L(r)(E,1)/r!
Ω	0.24251627584279	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	22800ch4 91200bl4 4275g4 285c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1425h3

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	-	+	-4	4	-2	-2	+	4	-2	0	6	-6	-8	12	14	4	14	4	0	14	16	0	-6	10

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Quadratic twists for elliptic curve 1425h3

-4	8	-3	5	-7	-19
22800ch4	91200bl4	4275g4	285c3	69825v4	27075f4

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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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