Atkin-Lehner |
2- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600bj |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-1155187911680000 = -1 · 213 · 54 · 11 · 295 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25992,-278288] |
[a1,a2,a3,a4,a6] |
Generators |
[2618:52561:8] |
Generators of the group modulo torsion |
j |
758553353975/451245278 |
j-invariant |
L |
4.2346293356475 |
L(r)(E,1)/r! |
Ω |
0.28510858788178 |
Real period |
R |
7.4263449133603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997943271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950i1 127600s2 |
Quadratic twists by: -4 5 |