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	4	Product of Tamagawa factors cp
Δ	-1429708021265242656 = -1 · 25 · 330 · 7 · 31	Discriminant
Eigenvalues	2+ 3- -2 7+  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,233667,37616485]	[a1,a2,a3,a4,a6]
j	1935473755102091567/1961190701324064	j-invariant
L	0.7112321591285	L(r)(E,1)/r!
Ω	0.17780803978213	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31248cj3 124992bi3 1302j4 97650dp3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906b4

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 3906b4

-4	8	-3	5	-7	-31
31248cj3	124992bi3	1302j4	97650dp3	27342o3	121086h3

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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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