Cremona's table of elliptic curves

3570 = 2 · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	3570q	Isogeny class
Conductor	3570	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	918397653311250 = 2 · 32 · 54 · 710 · 172	Discriminant
Eigenvalues	2+ 3- 5- 7- -6  0 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-54048,4606756]	[a1,a2,a3,a4,a6]
Generators	[80:852:1]	Generators of the group modulo torsion
j	17460273607244690041/918397653311250	j-invariant
L	3.2392789147493	L(r)(E,1)/r!
Ω	0.49058580351967	Real period
R	0.16507198595584	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	28560cw2 114240bj2 10710be2 17850bd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570q2

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
+	-	-	-	-6	0	-	-6	4	-4	-8	4	-2	12	-8	-6	-14	2	-8	0	-6	4	-6	6	-18

---

Quadratic twists for elliptic curve 3570q2

-4	8	-3	5	-7	17
28560cw2	114240bj2	10710be2	17850bd2	24990c2	60690e2

---

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