Cremona's table of elliptic curves

3990 = 2 · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	3990v	Isogeny class
Conductor	3990	Conductor
∏ cp	2310	Product of Tamagawa factors cp
deg	73920	Modular degree for the optimal curve
Δ	-1494018600480000000 = -1 · 211 · 34 · 57 · 75 · 193	Discriminant
Eigenvalues	2- 3+ 5- 7- -5  1 -7 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-125615,61201397]	[a1,a2,a3,a4,a6]
Generators	[7107:-602054:1]	Generators of the group modulo torsion
j	-219203980537177787761/1494018600480000000	j-invariant
L	4.7588223045717	L(r)(E,1)/r!
Ω	0.23109953490993	Real period
R	0.0089143244556864	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	31920bv1 127680cn1 11970v1 19950u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990v1

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
-	+	-	-	-5	1	-7	-	1	-3	-2	-2	-7	-6	-8	0	1	1	3	-13	10	9	-3	-10	-8

---

Quadratic twists for elliptic curve 3990v1

-4	8	-3	5	-7	-19
31920bv1	127680cn1	11970v1	19950u1	27930db1	75810bv1

---

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