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	15450bi	Isogeny class
Conductor	15450	Conductor
∏ cp	288	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	-3075563520000 = -1 · 216 · 36 · 54 · 103	Discriminant
Eigenvalues	2- 3- 5- -3  2 -1  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11113,457817]	[a1,a2,a3,a4,a6]
Generators	[122:-1021:1]	Generators of the group modulo torsion
j	-242851102993825/4920901632	j-invariant
L	8.3298764366187	L(r)(E,1)/r!
Ω	0.79989253673788	Real period
R	0.036158834772415	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	123600bj1 46350bf1 15450e1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15450bi1

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
-	-	-	-3	2	-1	5	1	-7	-1	-10	-6	-2	6	-6	-6	-7	-7	12	6	6	-1	12	-12	-2

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Quadratic twists for elliptic curve 15450bi1

-4	-3	5
123600bj1	46350bf1	15450e1

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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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