Cremona's table of elliptic curves

15450 = 2 · 3 · 5² · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 103+	Signs for the Atkin-Lehner involutions
Class	15450r	Isogeny class
Conductor	15450	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	29184	Modular degree for the optimal curve
Δ	-22781952000 = -1 · 216 · 33 · 53 · 103	Discriminant
Eigenvalues	2+ 3- 5- -5  2 -2  1 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5031,-137942]	[a1,a2,a3,a4,a6]
Generators	[167:1836:1]	Generators of the group modulo torsion
j	-112629603409757/182255616	j-invariant
L	3.4963328602381	L(r)(E,1)/r!
Ω	0.28341589147181	Real period
R	1.0280336440326	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	123600br1 46350cl1 15450bb1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15450r1

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
+	-	-	-5	2	-2	1	-4	6	0	-5	-11	6	4	3	12	-8	9	0	6	-13	2	6	13	-18

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Quadratic twists for elliptic curve 15450r1

-4	-3	5
123600br1	46350cl1	15450bb1

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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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