Atkin-Lehner |
2+ 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bp |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-2.1494540205457E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,530424,166318048] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:792:1] [2:12936:1] |
Generators of the group modulo torsion |
j |
8450148651412987/11005204585194 |
j-invariant |
L |
10.029089042262 |
L(r)(E,1)/r! |
Ω |
0.14467480872779 |
Real period |
R |
0.72209998769839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999924343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650cp1 |
Quadratic twists by: 5 |