Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bg |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-1.2482151176072E+23 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11+ 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47451564,-126943769727] |
[a1,a2,a3,a4,a6] |
Generators |
[9912:608619:1] |
Generators of the group modulo torsion |
j |
-6874064715655619/72615234375 |
j-invariant |
L |
8.3083148556913 |
L(r)(E,1)/r! |
Ω |
0.028743091931903 |
Real period |
R |
4.0146433195009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30855h1 92565bn1 |
Quadratic twists by: -3 -11 |