Atkin-Lehner |
13+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106301c |
Isogeny class |
Conductor |
106301 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
14916176836093 = 136 · 174 · 37 |
Discriminant |
Eigenvalues |
0 -3 0 -3 1 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6760,106005] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-1437:1] [-46:3039:8] |
Generators of the group modulo torsion |
j |
7077888000/3090277 |
j-invariant |
L |
5.4323329773987 |
L(r)(E,1)/r! |
Ω |
0.6314066116703 |
Real period |
R |
1.0754426858762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629c1 |
Quadratic twists by: 13 |