Atkin-Lehner |
2- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91234s |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
10686055952 = 24 · 116 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-789,6865] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-137:1] |
Generators of the group modulo torsion |
j |
30664297/6032 |
j-invariant |
L |
3.2856148268477 |
L(r)(E,1)/r! |
Ω |
1.2156641382902 |
Real period |
R |
0.67568309305005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
754c1 |
Quadratic twists by: -11 |