Cremona's table of elliptic curves

5070 = 2 · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	5070q	Isogeny class
Conductor	5070	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	45178932240 = 24 · 32 · 5 · 137	Discriminant
Eigenvalues	2- 3+ 5-  0  0 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2285,39827]	[a1,a2,a3,a4,a6]
Generators	[15:88:1]	Generators of the group modulo torsion
j	273359449/9360	j-invariant
L	5.093890722213	L(r)(E,1)/r!
Ω	1.1295083101471	Real period
R	2.2549151150335	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	40560cq1 15210h1 25350x1 390a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5070q1

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	0	+	-6	0	-4	-10	0	6	-2	-4	0	-6	0	6	-4	-16	2	0	-4	6	-14

---

Quadratic twists for elliptic curve 5070q1

-4	-3	5	13
40560cq1	15210h1	25350x1	390a1

---

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