Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936y |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-152277336064 = -1 · 214 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 2 2 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,16640] |
[a1,a2,a3,a4,a6] |
j |
103823/316 |
j-invariant |
L |
5.794695109712 |
L(r)(E,1)/r! |
Ω |
0.72433688887819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742m1 1264i1 |
Quadratic twists by: -4 -7 |