Cremona's table of elliptic curves

8050 = 2 · 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 23+	Signs for the Atkin-Lehner involutions
Class	8050m	Isogeny class
Conductor	8050	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-17033800000000 = -1 · 29 · 58 · 7 · 233	Discriminant
Eigenvalues	2+ -2 5- 7- -6 -1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3951,-220702]	[a1,a2,a3,a4,a6]
Generators	[654:197:8]	Generators of the group modulo torsion
j	-17455277065/43606528	j-invariant
L	1.7469540741301	L(r)(E,1)/r!
Ω	0.28046485339608	Real period
R	6.2287807294806	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	64400cg2 72450fb2 8050o2 56350x2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8050m2

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
+	-2	-	-	-6	-1	-3	-4	+	-6	8	11	0	8	3	9	0	8	8	-6	2	-1	-9	3	-1

---

Quadratic twists for elliptic curve 8050m2

-4	-3	5	-7
64400cg2	72450fb2	8050o2	56350x2

---

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