Cremona's table of elliptic curves

5106 = 2 · 3 · 23 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 23+ 37+	Signs for the Atkin-Lehner involutions
Class	5106f	Isogeny class
Conductor	5106	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-91908 = -1 · 22 · 33 · 23 · 37	Discriminant
Eigenvalues	2- 3- -2  1 -2 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,11,5]	[a1,a2,a3,a4,a6]
Generators	[2:5:1]	Generators of the group modulo torsion
j	146363183/91908	j-invariant
L	5.9642513977423	L(r)(E,1)/r!
Ω	2.1016923409857	Real period
R	0.47297212833611	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40848g1 15318g1 127650l1 117438s1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 5106f1

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	1	-2	-2	0	-2	+	-3	-7	+	6	-2	-1	-6	-6	5	-4	3	-9	10	6	4	-19

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Quadratic twists for elliptic curve 5106f1

-4	-3	5	-23
40848g1	15318g1	127650l1	117438s1

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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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