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
deg	15360	Modular degree for the optimal curve
Δ	120924612329472 = 220 · 312 · 7 · 31	Discriminant
Eigenvalues	2+ 3- -2 7+  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-32733,-2209019]	[a1,a2,a3,a4,a6]
j	5320605737038033/165877383168	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	31248cj1 124992bi1 1302j1 97650dp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906b1

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

---

Quadratic twists for elliptic curve 3906b1

-4	8	-3	5	-7	-31
31248cj1	124992bi1	1302j1	97650dp1	27342o1	121086h1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations