Cremona's table of elliptic curves

45600 = 2⁵ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	45600bh	Isogeny class
Conductor	45600	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	172032	Modular degree for the optimal curve
Δ	-274597398220800 = -1 · 212 · 3 · 52 · 197	Discriminant
Eigenvalues	2- 3+ 5+ -4 -3  0 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22833,-1541343]	[a1,a2,a3,a4,a6]
Generators	[301:4332:1]	Generators of the group modulo torsion
j	-12856765000000/2681615217	j-invariant
L	2.9511495474494	L(r)(E,1)/r!
Ω	0.19204105867555	Real period
R	0.54883158242172	Regulator
r	1	Rank of the group of rational points
S	1.0000000000033	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	45600bt1 91200hw1 45600y1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 45600bh1

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
-	+	+	-4	-3	0	-4	-	1	-7	-3	-2	-6	4	8	-13	8	13	1	6	5	-1	-9	5	-6

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Quadratic twists for elliptic curve 45600bh1

-4	8	5
45600bt1	91200hw1	45600y1

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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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