Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773r |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
122045014538469 = 36 · 119 · 71 |
Discriminant |
Eigenvalues |
0 3- -3 1 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12987,200657] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-1997:1] |
Generators of the group modulo torsion |
j |
136750071808/68891229 |
j-invariant |
L |
3.6820309098809 |
L(r)(E,1)/r! |
Ω |
0.52046206793393 |
Real period |
R |
0.29477259541198 |
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 |
77319t1 2343g1 |
Quadratic twists by: -3 -11 |