Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bm |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
940106027481984 = 27 · 36 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44672,3332387] |
[a1,a2,a3,a4,a6] |
Generators |
[91:75:1] |
Generators of the group modulo torsion |
j |
63088729/6016 |
j-invariant |
L |
11.702847546413 |
L(r)(E,1)/r! |
Ω |
0.48284479636472 |
Real period |
R |
1.1541564858645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374d1 102366o1 |
Quadratic twists by: -3 -11 |