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	3906m	Isogeny class
Conductor	3906	Conductor
∏ cp	400	Product of Tamagawa factors cp
deg	134400	Modular degree for the optimal curve
Δ	-1.180285843101E+20	Discriminant
Eigenvalues	2- 3+  1 7- -5 -1 -5  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3462212,2534941927]	[a1,a2,a3,a4,a6]
Generators	[901:11645:1]	Generators of the group modulo torsion
j	-233181060948366864507/5996473317588992	j-invariant
L	5.4077051964923	L(r)(E,1)/r!
Ω	0.18621043408027	Real period
R	0.072602070114948	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31248z1 124992n1 3906a1 97650c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906m1

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
-	+	1	-	-5	-1	-5	1	-6	-6	+	-2	0	-4	-1	0	-6	7	-5	15	-8	1	5	-6	17

---

Quadratic twists for elliptic curve 3906m1

-4	8	-3	5	-7	-31
31248z1	124992n1	3906a1	97650c1	27342y1	121086s1

---

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