Atkin-Lehner |
2- 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888n |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
116202553344 = 214 · 38 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1224,-1296] |
[a1,a2,a3,a4,a6] |
j |
49552182217/28369764 |
j-invariant |
L |
1.750134527233 |
L(r)(E,1)/r! |
Ω |
0.87506726403819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486j1 |
Quadratic twists by: -4 |