Cremona's table of elliptic curves

106470 = 2 · 3² · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	106470fs	Isogeny class
Conductor	106470	Conductor
∏ cp	3040	Product of Tamagawa factors cp
deg	8171520	Modular degree for the optimal curve
Δ	1.2722007287808E+21	Discriminant
Eigenvalues	2- 3- 5- 7-  1 13+ -5 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-9268772,10727180871]	[a1,a2,a3,a4,a6]
Generators	[1541:-10851:1]	Generators of the group modulo torsion
j	714785992034201184721/10326220800000000	j-invariant
L	12.012061060017	L(r)(E,1)/r!
Ω	0.15346284089676	Real period
R	0.025747834723666	Regulator
r	1	Rank of the group of rational points
S	1.0000000028778	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35490f1 106470y1	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 106470fs1

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	+	-5	-5	-6	5	10	6	-9	-2	-9	3	-6	13	2	-12	-4	15	-8	1	-2

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Quadratic twists for elliptic curve 106470fs1

-3	13
35490f1	106470y1

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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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