Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
105152v |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-834486272 = -1 · 214 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 4 -2 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1553,-23087] |
[a1,a2,a3,a4,a6] |
j |
-25298674000/50933 |
j-invariant |
L |
1.520761060231 |
L(r)(E,1)/r! |
Ω |
0.38019027103117 |
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 |
105152f1 26288f1 |
Quadratic twists by: -4 8 |