Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	8190bs	Isogeny class
Conductor	8190	Conductor
∏ cp	640	Product of Tamagawa factors cp
Δ	34772250240000 = 210 · 38 · 54 · 72 · 132	Discriminant
Eigenvalues	2- 3- 5- 7- -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-50432,4362531]	[a1,a2,a3,a4,a6]
Generators	[281:-3651:1]	Generators of the group modulo torsion
j	19458380202497209/47698560000	j-invariant
L	6.7141952821157	L(r)(E,1)/r!
Ω	0.65504552134016	Real period
R	0.25624918663588	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	65520dm2 2730d2 40950bf2 57330em2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bs2

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	4	-4	-2	-8	-6	-10	-4	0	6	-8	10	-8	16	14	-16	-16	-18	-10

---

Quadratic twists for elliptic curve 8190bs2

-4	-3	5	-7	13
65520dm2	2730d2	40950bf2	57330em2	106470bf2

---

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