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	3570w	Isogeny class
Conductor	3570	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3673530 = 2 · 32 · 5 · 74 · 17	Discriminant
Eigenvalues	2- 3- 5+ 7-  4 -2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8161,-284449]	[a1,a2,a3,a4,a6]
j	60111445514713489/3673530	j-invariant
L	4.0184023731502	L(r)(E,1)/r!
Ω	0.50230029664377	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28560cg4 114240cf4 10710o4 17850f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570w3

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

---

Quadratic twists for elliptic curve 3570w3

-4	8	-3	5	-7	17
28560cg4	114240cf4	10710o4	17850f3	24990bt4	60690br4

---

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