Cremona's table of elliptic curves

5916 = 2² · 3 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 29+	Signs for the Atkin-Lehner involutions
Class	5916c	Isogeny class
Conductor	5916	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	51753168 = 24 · 38 · 17 · 29	Discriminant
Eigenvalues	2- 3-  2  2  0  6 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-137,468]	[a1,a2,a3,a4,a6]
j	17903239168/3234573	j-invariant
L	3.8047513905712	L(r)(E,1)/r!
Ω	1.9023756952856	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23664k1 94656p1 17748d1 100572f1	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 5916c1

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	2	0	6	-	2	-6	+	0	6	-2	10	10	-6	-4	2	4	2	10	-4	4	-6	-18

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Quadratic twists for elliptic curve 5916c1

-4	8	-3	17
23664k1	94656p1	17748d1	100572f1

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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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