Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fw |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
2582138621672064000 = 210 · 38 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-349862,-19073739] |
[a1,a2,a3,a4,a6] |
Generators |
[1401:-48021:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
12.878761949481 |
L(r)(E,1)/r! |
Ω |
0.20952911355315 |
Real period |
R |
0.51221051943484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490h1 8190g1 |
Quadratic twists by: -3 13 |