Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634m |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-2456477244479232 = -1 · 28 · 39 · 136 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104945,-13274719] |
[a1,a2,a3,a4,a6] |
Generators |
[687:15100:1] |
Generators of the group modulo torsion |
j |
-175338610176327625/3369653284608 |
j-invariant |
L |
8.9904906534286 |
L(r)(E,1)/r! |
Ω |
0.13247522065647 |
Real period |
R |
1.4138635715037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878b1 |
Quadratic twists by: -3 |