Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976bp |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-3061311418368 = -1 · 212 · 36 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8280,-301968] |
[a1,a2,a3,a4,a6] |
Generators |
[108:252:1] |
Generators of the group modulo torsion |
j |
-21024576000/1025227 |
j-invariant |
L |
6.9191578049233 |
L(r)(E,1)/r! |
Ω |
0.24953347460251 |
Real period |
R |
1.3864187568396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976bd1 13664f1 |
Quadratic twists by: -4 -3 |