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	5082j	Isogeny class
Conductor	5082	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-38753313595750908 = -1 · 22 · 32 · 73 · 1112	Discriminant
Eigenvalues	2+ 3-  0 7+ 11- -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-99586,15354656]	[a1,a2,a3,a4,a6]
Generators	[175:1727:1]	Generators of the group modulo torsion
j	-61653281712625/21875235228	j-invariant
L	3.2703776388695	L(r)(E,1)/r!
Ω	0.3430331218862	Real period
R	2.3834270149243	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	40656bq3 15246bf3 127050fz3 35574j3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082j3

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

---

Quadratic twists for elliptic curve 5082j3

-4	-3	5	-7	-11
40656bq3	15246bf3	127050fz3	35574j3	462g3

---

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