Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336bd |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
2875292992 = 26 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -3 -4 -2 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15037,709720] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-26:1] [-24:1028:1] |
Generators of the group modulo torsion |
j |
48555895379904/371293 |
j-invariant |
L |
4.1196916688041 |
L(r)(E,1)/r! |
Ω |
1.2823757115779 |
Real period |
R |
0.32125465506007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336bb1 100672dg1 50336j1 |
Quadratic twists by: -4 8 -11 |