Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925l |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4279514765625 = 39 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13730,-607728] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:735:8] [-72:96:1] |
Generators of the group modulo torsion |
j |
25128011089/375705 |
j-invariant |
L |
6.6025128273899 |
L(r)(E,1)/r! |
Ω |
0.44144615373506 |
Real period |
R |
3.7391382683509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975d1 11385n1 |
Quadratic twists by: -3 5 |