Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bu |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1130364928 = 221 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3 2 7- 11- -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,-2128] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:251:27] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
11.187246811197 |
L(r)(E,1)/r! |
Ω |
1.1093936404009 |
Real period |
R |
5.0420546881605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496db1 1078k1 34496k1 |
Quadratic twists by: -4 8 -7 |