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	3520b	Isogeny class
Conductor	3520	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-422185533440 = -1 · 219 · 5 · 115	Discriminant
Eigenvalues	2+  1 5+  3 11+  6 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-380161,-90346145]	[a1,a2,a3,a4,a6]
Generators	[2536317:217332128:343]	Generators of the group modulo torsion
j	-23178622194826561/1610510	j-invariant
L	4.0740280738857	L(r)(E,1)/r!
Ω	0.096134123648862	Real period
R	10.594646102893	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	3520y2 110a2 31680bv2 17600f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3520b2

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	+	3	+	6	-7	-5	-6	-5	-3	-3	2	-4	-2	1	10	-7	-8	7	14	10	6	-15	-12

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Quadratic twists for elliptic curve 3520b2

-4	8	-3	5	-11
3520y2	110a2	31680bv2	17600f2	38720l2

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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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