Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558da |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
22176000 |
Modular degree for the optimal curve |
Δ |
-1.8951056916118E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8586344,66936576576] |
[a1,a2,a3,a4,a6] |
Generators |
[11560:-1235624:1] |
Generators of the group modulo torsion |
j |
-39517772438920743577/1069737757611393024 |
j-invariant |
L |
17.114683338166 |
L(r)(E,1)/r! |
Ω |
0.069663382275747 |
Real period |
R |
0.18611885845765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778h1 |
Quadratic twists by: -11 |