Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925t |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5403427734375 = -1 · 37 · 510 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1683,108216] |
[a1,a2,a3,a4,a6] |
Generators |
[988:30578:1] |
Generators of the group modulo torsion |
j |
46268279/474375 |
j-invariant |
L |
7.7728012013466 |
L(r)(E,1)/r! |
Ω |
0.56101972598422 |
Real period |
R |
6.9273867222105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975m1 11385j1 |
Quadratic twists by: -3 5 |