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	106470ge	Isogeny class
Conductor	106470	Conductor
∏ cp	136	Product of Tamagawa factors cp
deg	522240	Modular degree for the optimal curve
Δ	-211945144320000 = -1 · 217 · 37 · 54 · 7 · 132	Discriminant
Eigenvalues	2- 3- 5- 7- -4 13+  7  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2308,698559]	[a1,a2,a3,a4,a6]
Generators	[-43:-699:1]	Generators of the group modulo torsion
j	11040615599/1720320000	j-invariant
L	11.956342511199	L(r)(E,1)/r!
Ω	0.4329921260225	Real period
R	0.2030389882243	Regulator
r	1	Rank of the group of rational points
S	0.99999999993042	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35490j1 106470bh1	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 106470ge1

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
-	-	-	-	-4	+	7	2	-9	6	-7	-6	-2	-5	6	-9	1	-3	13	3	0	12	-3	9	-8

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Quadratic twists for elliptic curve 106470ge1

-3	13
35490j1	106470bh1

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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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