Atkin-Lehner |
11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9559d |
Isogeny class |
Conductor |
9559 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
16934351599 = 118 · 79 |
Discriminant |
Eigenvalues |
-1 1 1 5 11- -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16640,-827551] |
[a1,a2,a3,a4,a6] |
Generators |
[-2013:1138:27] |
Generators of the group modulo torsion |
j |
287626699801/9559 |
j-invariant |
L |
3.9409407318452 |
L(r)(E,1)/r! |
Ω |
0.4203508735444 |
Real period |
R |
4.6876799596195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86031g1 869a1 |
Quadratic twists by: -3 -11 |