Cremona's table of elliptic curves

106560 = 2⁶ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	106560ca	Isogeny class
Conductor	106560	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	172032	Modular degree for the optimal curve
Δ	-1060621516800 = -1 · 219 · 37 · 52 · 37	Discriminant
Eigenvalues	2+ 3- 5+  3 -3  5 -5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2028,-60752]	[a1,a2,a3,a4,a6]
Generators	[134:-1440:1]	Generators of the group modulo torsion
j	-4826809/5550	j-invariant
L	7.2454722344808	L(r)(E,1)/r!
Ω	0.34054441474325	Real period
R	0.66487952123131	Regulator
r	1	Rank of the group of rational points
S	0.99999999953644	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106560fe1 3330w1 35520bl1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 106560ca1

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
+	-	+	3	-3	5	-5	-1	7	-6	6	-	-8	-4	12	-13	14	6	2	14	-13	-8	-17	-7	-8

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Quadratic twists for elliptic curve 106560ca1

-4	8	-3
106560fe1	3330w1	35520bl1

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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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