Cremona's table of elliptic curves

3741 = 3 · 29 · 43

Field	Data	Notes
Atkin-Lehner	3+ 29- 43+	Signs for the Atkin-Lehner involutions
Class	3741c	Isogeny class
Conductor	3741	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	40488	Modular degree for the optimal curve
Δ	19888152318865869 = 3 · 293 · 437	Discriminant
Eigenvalues	0 3+  1 -2  1  6 -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-915675,337493510]	[a1,a2,a3,a4,a6]
j	84907930899549935927296/19888152318865869	j-invariant
L	1.1250170434275	L(r)(E,1)/r!
Ω	0.37500568114249	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	59856r1 11223c1 93525s1 108489i1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 3741c1

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	-2	1	6	-3	5	-4	-	10	-10	-7	+	-8	6	0	7	-3	13	3	14	-12	4	-4

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Quadratic twists for elliptic curve 3741c1

-4	-3	5	29
59856r1	11223c1	93525s1	108489i1

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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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