Cremona's table of elliptic curves

5082 = 2 · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	5082o	Isogeny class
Conductor	5082	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	782628 = 22 · 3 · 72 · 113	Discriminant
Eigenvalues	2- 3+  4 7+ 11+ -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-41,-109]	[a1,a2,a3,a4,a6]
j	5735339/588	j-invariant
L	3.7978906046168	L(r)(E,1)/r!
Ω	1.8989453023084	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	40656cz1 15246h1 127050di1 35574cv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082o1

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

---

Quadratic twists for elliptic curve 5082o1

-4	-3	5	-7	-11
40656cz1	15246h1	127050di1	35574cv1	5082f1

---

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