Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232f |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
327371120208 = 24 · 39 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6114,181937] |
[a1,a2,a3,a4,a6] |
Generators |
[556:12987:1] |
Generators of the group modulo torsion |
j |
2166968031232/28066797 |
j-invariant |
L |
7.8402051788585 |
L(r)(E,1)/r! |
Ω |
0.96698591508657 |
Real period |
R |
4.0539396988106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112464d1 18744f1 |
Quadratic twists by: -4 -3 |