Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cl |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-983125000 = -1 · 23 · 57 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338,-2969] |
[a1,a2,a3,a4,a6] |
j |
-2259169/520 |
j-invariant |
L |
3.299958233817 |
L(r)(E,1)/r! |
Ω |
0.54999304926298 |
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 |
15730e1 78650i1 |
Quadratic twists by: 5 -11 |