Cremona's table of elliptic curves

3520 = 2⁶ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	3520m	Isogeny class
Conductor	3520	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-87228416000 = -1 · 219 · 53 · 113	Discriminant
Eigenvalues	2+ -1 5- -1 11- -2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,575,-13375]	[a1,a2,a3,a4,a6]
Generators	[145:1760:1]	Generators of the group modulo torsion
j	80062991/332750	j-invariant
L	2.9684801841499	L(r)(E,1)/r!
Ω	0.54473644760719	Real period
R	0.15137188498265	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3520bd2 110b2 31680h2 17600n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3520m2

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
+	-1	-	-1	-	-2	-3	1	6	9	5	-5	-6	-8	6	-9	-6	-5	-8	-9	-10	14	6	-15	8

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Quadratic twists for elliptic curve 3520m2

-4	8	-3	5	-11
3520bd2	110b2	31680h2	17600n2	38720bi2

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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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