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	3990u	Isogeny class
Conductor	3990	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1540282767187500 = -1 · 22 · 32 · 58 · 78 · 19	Discriminant
Eigenvalues	2- 3+ 5- 7+  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-27615,-2597103]	[a1,a2,a3,a4,a6]
j	-2328948245994395761/1540282767187500	j-invariant
L	2.8776108751527	L(r)(E,1)/r!
Ω	0.17985067969704	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	31920bx5 127680bz5 11970t6 19950z6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990u6

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

---

Quadratic twists for elliptic curve 3990u6

-4	8	-3	5	-7	-19
31920bx5	127680bz5	11970t6	19950z6	27930da5	75810bo5

---

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