Cremona's table of elliptic curves

5423 = 11 · 17 · 29

Field	Data	Notes
Atkin-Lehner	11+ 17- 29+	Signs for the Atkin-Lehner involutions
Class	5423a	Isogeny class
Conductor	5423	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	704	Modular degree for the optimal curve
Δ	-59653 = -1 · 112 · 17 · 29	Discriminant
Eigenvalues	1  0  0  3 11+ -7 17- -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-77,-242]	[a1,a2,a3,a4,a6]
j	-50858627625/59653	j-invariant
L	1.610579882555	L(r)(E,1)/r!
Ω	0.8052899412775	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86768n1 48807m1 59653c1 92191c1	Quadratic twists by: -4 -3 -11 17

Hecke Eigenvalues for elliptic curve 5423a1

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	0	0	3	+	-7	-	-7	8	+	2	5	9	-1	7	9	12	-7	-2	7	13	0	12	-18	-14

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Quadratic twists for elliptic curve 5423a1

-4	-3	-11	17
86768n1	48807m1	59653c1	92191c1

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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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