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	3906h	Isogeny class
Conductor	3906	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4.4864579826126E+19	Discriminant
Eigenvalues	2+ 3-  2 7+ -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2941776,1969351384]	[a1,a2,a3,a4,a6]
Generators	[-100845:7773239:125]	Generators of the group modulo torsion
j	-3862113817658457666817/61542633506345208	j-invariant
L	2.8461951493663	L(r)(E,1)/r!
Ω	0.2027036262152	Real period
R	7.0205827160304	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	31248ca5 124992cf5 1302l6 97650ek5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3906h6

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	+	-4	-2	6	-4	0	2	-	6	6	-12	0	10	-4	-2	-12	8	-14	-8	-12	-18	2

---

Quadratic twists for elliptic curve 3906h6

-4	8	-3	5	-7	-31
31248ca5	124992cf5	1302l6	97650ek5	27342j5	121086f5

---

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