Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796c |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
1778605208400592 = 24 · 116 · 137 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81796,8772621] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:1014:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
2.8026214723963 |
L(r)(E,1)/r! |
Ω |
0.46868267827134 |
Real period |
R |
2.9898923054434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
676a1 6292g1 |
Quadratic twists by: -11 13 |