Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bo |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6741504 |
Modular degree for the optimal curve |
Δ |
-7581421457705390625 = -1 · 39 · 57 · 118 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27027369,54089047458] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:135414:1] |
Generators of the group modulo torsion |
j |
-13972239607203889/48515625 |
j-invariant |
L |
6.7448272658366 |
L(r)(E,1)/r! |
Ω |
0.20526890158349 |
Real period |
R |
0.78234513587541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999176002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745w1 125235bu1 |
Quadratic twists by: -3 -11 |