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	3570t	Isogeny class
Conductor	3570	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	184812061593600 = 212 · 32 · 52 · 74 · 174	Discriminant
Eigenvalues	2- 3+ 5- 7+  4  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-17420,588845]	[a1,a2,a3,a4,a6]
j	584614687782041281/184812061593600	j-invariant
L	3.1536438892315	L(r)(E,1)/r!
Ω	0.52560731487192	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	28560ef2 114240dk2 10710f2 17850u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570t2

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

---

Quadratic twists for elliptic curve 3570t2

-4	8	-3	5	-7	17
28560ef2	114240dk2	10710f2	17850u2	24990by2	60690bw2

---

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