Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496b |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
2077910990848 = 215 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11+ 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69057,7007617] |
[a1,a2,a3,a4,a6] |
Generators |
[153:8:1] |
Generators of the group modulo torsion |
j |
192805256/11 |
j-invariant |
L |
5.5947406635504 |
L(r)(E,1)/r! |
Ω |
0.78179939656019 |
Real period |
R |
1.7890588967472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496d1 17248x1 34496n1 |
Quadratic twists by: -4 8 -7 |