Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51336t |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
119445574533663744 = 210 · 311 · 23 · 315 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -3 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137019,-10227674] |
[a1,a2,a3,a4,a6] |
j |
381099700944868/160008324939 |
j-invariant |
L |
1.0304008659687 |
L(r)(E,1)/r! |
Ω |
0.25760021668284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672j1 17112c1 |
Quadratic twists by: -4 -3 |