Cremona's table of elliptic curves

4107 = 3 · 37²

Field	Data	Notes
Atkin-Lehner	3- 37-	Signs for the Atkin-Lehner involutions
Class	4107b	Isogeny class
Conductor	4107	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	94742108310611133 = 36 · 379	Discriminant
Eigenvalues	-1 3-  2  0  0  0 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-241657,-43279852]	[a1,a2,a3,a4,a6]
Generators	[-319:1331:1]	Generators of the group modulo torsion
j	12008989/729	j-invariant
L	3.1232431739242	L(r)(E,1)/r!
Ω	0.2161454376613	Real period
R	4.8165766034171	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65712u2 12321g2 102675i2 4107a2	Quadratic twists by: -4 -3 5 37

Hecke Eigenvalues for elliptic curve 4107b2

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	-	2	0	0	0	-2	-6	-4	2	6	-	-6	6	-12	-6	-8	-12	-12	12	-6	6	-12	10	12

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Quadratic twists for elliptic curve 4107b2

-4	-3	5	37
65712u2	12321g2	102675i2	4107a2

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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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