Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580bd |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
86486400 |
Modular degree for the optimal curve |
Δ |
-6.2963660311288E+28 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2106374090,39118096291525] |
[a1,a2,a3,a4,a6] |
Generators |
[-147190:67714625:8] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
5.2414942005614 |
L(r)(E,1)/r! |
Ω |
0.034458279235097 |
Real period |
R |
3.4570753629997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580b1 10780m1 |
Quadratic twists by: -7 -11 |