Atkin-Lehner |
2- 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328h |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-1.4353142452332E+19 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651824,-272494992] |
[a1,a2,a3,a4,a6] |
Generators |
[814746938:51555316033:195112] |
Generators of the group modulo torsion |
j |
-7477472169133314048/3504185169026347 |
j-invariant |
L |
7.2021305966078 |
L(r)(E,1)/r! |
Ω |
0.082163303568039 |
Real period |
R |
12.522327542126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083b1 |
Quadratic twists by: -4 |