Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gj |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
13996800 |
Modular degree for the optimal curve |
Δ |
-1.3504061021388E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -7 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5844842,-1293050989] |
[a1,a2,a3,a4,a6] |
j |
498592699047570335/304907615857152 |
j-invariant |
L |
3.9314189481841 |
L(r)(E,1)/r! |
Ω |
0.072804063035013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ed1 11550e1 |
Quadratic twists by: 5 -11 |