Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960q |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-15869473776000000 = -1 · 210 · 33 · 56 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560216,-161692416] |
[a1,a2,a3,a4,a6] |
Generators |
[1915264:7984176:2197] |
Generators of the group modulo torsion |
j |
-18988517343705597796/15497532984375 |
j-invariant |
L |
8.1099592674169 |
L(r)(E,1)/r! |
Ω |
0.087248779667166 |
Real period |
R |
7.7460102199682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920f1 |
Quadratic twists by: -4 |