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	3570m	Isogeny class
Conductor	3570	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	103233690000000000 = 210 · 36 · 510 · 72 · 172	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-237723,-41868122]	[a1,a2,a3,a4,a6]
Generators	[-316:1470:1]	Generators of the group modulo torsion
j	1485712211163154851241/103233690000000000	j-invariant
L	3.1924789504951	L(r)(E,1)/r!
Ω	0.21715904656121	Real period
R	0.49003698764402	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	28560cz2 114240h2 10710ba2 17850bl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570m2

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

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Quadratic twists for elliptic curve 3570m2

-4	8	-3	5	-7	17
28560cz2	114240h2	10710ba2	17850bl2	24990h2	60690j2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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