Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dp |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-172302850147392 = -1 · 26 · 38 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1252,631358] |
[a1,a2,a3,a4,a6] |
Generators |
[2357:114444:1] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
9.6026357641315 |
L(r)(E,1)/r! |
Ω |
0.46205752424425 |
Real period |
R |
2.5977922824287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cl1 27744r2 3264v1 |
Quadratic twists by: -4 8 17 |