Atkin-Lehner |
3- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325r |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
52078125 = 3 · 56 · 11 · 101 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11- 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-533,-4906] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:-1:27] |
Generators of the group modulo torsion |
j |
1073741824/3333 |
j-invariant |
L |
4.9671481793533 |
L(r)(E,1)/r! |
Ω |
0.99364423613809 |
Real period |
R |
2.4994600681974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333c1 |
Quadratic twists by: 5 |