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	5916a	Isogeny class
Conductor	5916	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-92005632 = -1 · 28 · 36 · 17 · 29	Discriminant
Eigenvalues	2- 3-  0 -1  0 -1 17+  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-388,2852]	[a1,a2,a3,a4,a6]
Generators	[-4:66:1]	Generators of the group modulo torsion
j	-25298674000/359397	j-invariant
L	4.6204783696351	L(r)(E,1)/r!
Ω	1.9107092264163	Real period
R	1.2091003449806	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23664f1 94656f1 17748f1 100572e1	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 5916a1

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
-	-	0	-1	0	-1	+	5	0	+	-10	-7	-3	11	-9	-9	12	-1	2	-9	11	-4	6	-12	2

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Quadratic twists for elliptic curve 5916a1

-4	8	-3	17
23664f1	94656f1	17748f1	100572e1

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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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