Cremona's table of elliptic curves

5451 = 3 · 23 · 79

Field	Data	Notes
Atkin-Lehner	3- 23- 79-	Signs for the Atkin-Lehner involutions
Class	5451b	Isogeny class
Conductor	5451	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-441531 = -1 · 35 · 23 · 79	Discriminant
Eigenvalues	-2 3- -3  0 -1 -6 -8 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,18,20]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1] [0:4:1]	Generators of the group modulo torsion
j	609800192/441531	j-invariant
L	2.7700264077642	L(r)(E,1)/r!
Ω	1.8908894452605	Real period
R	0.29298660635187	Regulator
r	2	Rank of the group of rational points
S	0.99999999999891	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	87216d1 16353b1 125373g1	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for elliptic curve 5451b1

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
-2	-	-3	0	-1	-6	-8	-8	-	-1	-9	-3	-6	-5	0	0	9	-10	14	13	-7	-	-5	-1	4

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Quadratic twists for elliptic curve 5451b1

-4	-3	-23
87216d1	16353b1	125373g1

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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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