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	8190q	Isogeny class
Conductor	8190	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	645120	Modular degree for the optimal curve
Δ	-3.5065578654718E+22	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1139571,-8997566747]	[a1,a2,a3,a4,a6]
Generators	[11419291:-392679248:4913]	Generators of the group modulo torsion
j	224501959288069776431/48100930939256832000	j-invariant
L	3.1341226269165	L(r)(E,1)/r!
Ω	0.054679655886519	Real period
R	9.5529820494267	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	65520ee1 2730r1 40950eu1 57330br1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190q1

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

---

Quadratic twists for elliptic curve 8190q1

-4	-3	5	-7	13
65520ee1	2730r1	40950eu1	57330br1	106470ev1

---

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