Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135g |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-257236044435 = -1 · 313 · 5 · 232 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 0 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,942,-21717] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2794:1] |
Generators of the group modulo torsion |
j |
126808653824/352861515 |
j-invariant |
L |
3.1673212374263 |
L(r)(E,1)/r! |
Ω |
0.50530850129079 |
Real period |
R |
0.78351176299221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045g1 |
Quadratic twists by: -3 |