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	3520ba	Isogeny class
Conductor	3520	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	6875000000 = 26 · 510 · 11	Discriminant
Eigenvalues	2-  2 5+  0 11- -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1056,12950]	[a1,a2,a3,a4,a6]
Generators	[2094:12833:216]	Generators of the group modulo torsion
j	2036792051776/107421875	j-invariant
L	4.4428820636505	L(r)(E,1)/r!
Ω	1.3117127810663	Real period
R	6.7741690525251	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3520t1 1760l2 31680df1 17600co1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3520ba1

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
-	2	+	0	-	-4	-4	4	-2	-6	-4	-2	-2	4	2	-2	-4	2	10	-8	4	-16	-4	-10	-18

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Quadratic twists for elliptic curve 3520ba1

-4	8	-3	5	-11
3520t1	1760l2	31680df1	17600co1	38720cf1

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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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