Atkin-Lehner |
2+ 3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270k |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14246400 |
Modular degree for the optimal curve |
Δ |
5.09004269568E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 4 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72324045,-236697323675] |
[a1,a2,a3,a4,a6] |
Generators |
[5047176035391487005:64499107841162017435:509871755672369] |
Generators of the group modulo torsion |
j |
57391068489758620849901521/6982225920000000000 |
j-invariant |
L |
5.830627974226 |
L(r)(E,1)/r! |
Ω |
0.051770462864246 |
Real period |
R |
28.156151459932 |
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 |
42090o1 |
Quadratic twists by: -3 |