Atkin-Lehner |
5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065a |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1718431715 = -1 · 5 · 75 · 112 · 132 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 11+ 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,256,1237] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:243:8] |
Generators of the group modulo torsion |
j |
11040615599/10168235 |
j-invariant |
L |
6.0717078814618 |
L(r)(E,1)/r! |
Ω |
0.97609343692427 |
Real period |
R |
3.1102083329953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65065x1 |
Quadratic twists by: 13 |