Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960ba |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147087360 |
Modular degree for the optimal curve |
Δ |
-5.2377507444573E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1805858097,-18438523765598] |
[a1,a2,a3,a4,a6] |
Generators |
[4002167642186882818622204916794:1165513180268217257556213396093750:66980938313558784019445569] |
Generators of the group modulo torsion |
j |
569208099614384/457763671875 |
j-invariant |
L |
5.656792243209 |
L(r)(E,1)/r! |
Ω |
0.016265066985068 |
Real period |
R |
43.473477917447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bj1 129960cd1 |
Quadratic twists by: -3 -19 |