Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616bb |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
66977280 |
Modular degree for the optimal curve |
Δ |
7.1964011358763E+24 |
Discriminant |
Eigenvalues |
2- 3 -1 -1 11- -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5618027548,-162077889370864] |
[a1,a2,a3,a4,a6] |
Generators |
[-1277231190666:122436123832:29503629] |
Generators of the group modulo torsion |
j |
1196893107776952772633673036496/439233467765886286999 |
j-invariant |
L |
10.31773695374 |
L(r)(E,1)/r! |
Ω |
0.017438278050295 |
Real period |
R |
8.2176635629946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616g1 13904d1 |
Quadratic twists by: -4 8 |