Atkin-Lehner |
2- 7+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
103376i |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-66627230662393856 = -1 · 232 · 75 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 0 1 7+ -4 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7747,12421698] |
[a1,a2,a3,a4,a6] |
j |
-12553488586521/16266413735936 |
j-invariant |
L |
0.5610349903668 |
L(r)(E,1)/r! |
Ω |
0.28051730315626 |
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 |
12922b1 |
Quadratic twists by: -4 |