Cremona's table of elliptic curves

3906 = 2 · 3² · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 31-	Signs for the Atkin-Lehner involutions
Class	3906i	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	84829097934 = 2 · 38 · 7 · 314	Discriminant
Eigenvalues	2+ 3- -2 7+ -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6228,-187110]	[a1,a2,a3,a4,a6]
Generators	[-45:45:1]	Generators of the group modulo torsion
j	36650611029313/116363646	j-invariant
L	2.1925276368401	L(r)(E,1)/r!
Ω	0.53751678868094	Real period
R	2.0394968892233	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	31248cb4 124992ca4 1302n3 97650el4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906i3

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	+	-4	2	2	0	4	6	-	2	-2	4	0	-2	0	2	-4	0	-2	-4	-12	10	-14

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Quadratic twists for elliptic curve 3906i3

-4	8	-3	5	-7	-31
31248cb4	124992ca4	1302n3	97650el4	27342h4	121086i4

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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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