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	3906g	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-11260772980394364 = -1 · 22 · 38 · 712 · 31	Discriminant
Eigenvalues	2+ 3-  2 7+  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,31509,4621617]	[a1,a2,a3,a4,a6]
Generators	[399:8778:1]	Generators of the group modulo torsion
j	4745612697439823/15446876516316	j-invariant
L	2.9681238612261	L(r)(E,1)/r!
Ω	0.28540541227957	Real period
R	5.1998380786114	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	31248bx3 124992cc3 1302o4 97650ec3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906g4

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	+	0	2	-6	4	-4	-6	-	-2	-2	0	-8	10	-4	-14	-4	0	6	-12	4	2	10

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Quadratic twists for elliptic curve 3906g4

-4	8	-3	5	-7	-31
31248bx3	124992cc3	1302o4	97650ec3	27342i3	121086e3

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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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