Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336r |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
178346588992 = 26 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2218,-35444] |
[a1,a2,a3,a4,a6] |
Generators |
[60:226:1] |
Generators of the group modulo torsion |
j |
88000/13 |
j-invariant |
L |
5.7829210734035 |
L(r)(E,1)/r! |
Ω |
0.70252730484617 |
Real period |
R |
4.1157980860631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336t1 100672du1 50336k1 |
Quadratic twists by: -4 8 -11 |