Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138f |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-1310919929686016 = -1 · 211 · 137 · 1012 |
Discriminant |
Eigenvalues |
2- -1 1 -3 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104530,13080543] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-493:1] [-402:34335:8] |
Generators of the group modulo torsion |
j |
-26168974809769/271591424 |
j-invariant |
L |
10.376164746325 |
L(r)(E,1)/r! |
Ω |
0.48496836378673 |
Real period |
R |
0.24313124696577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626a1 |
Quadratic twists by: 13 |