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	3570r	Isogeny class
Conductor	3570	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1274490000 = 24 · 32 · 54 · 72 · 172	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-706,6719]	[a1,a2,a3,a4,a6]
Generators	[-17:127:1]	Generators of the group modulo torsion
j	38920307374369/1274490000	j-invariant
L	4.2664140456727	L(r)(E,1)/r!
Ω	1.5216037288631	Real period
R	0.70097325025296	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	28560dd2 114240en2 10710m2 17850q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570r2

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	-2	+	0	-4	-6	-8	-2	6	-4	8	6	-4	-14	4	12	-2	0	-12	-10	-2

---

Quadratic twists for elliptic curve 3570r2

-4	8	-3	5	-7	17
28560dd2	114240en2	10710m2	17850q2	24990cf2	60690ca2

---

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