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	3906b	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	37708909246405152 = 25 · 312 · 74 · 314	Discriminant
Eigenvalues	2+ 3- -2 7+  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1128573,461656741]	[a1,a2,a3,a4,a6]
j	218064699967398378193/51726898829088	j-invariant
L	0.7112321591285	L(r)(E,1)/r!
Ω	0.35561607956425	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31248cj4 124992bi4 1302j3 97650dp4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906b3

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

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Quadratic twists for elliptic curve 3906b3

-4	8	-3	5	-7	-31
31248cj4	124992bi4	1302j3	97650dp4	27342o4	121086h4

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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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