Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102752j |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-22917517374828544 = -1 · 212 · 138 · 193 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 1 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32899,6922891] |
[a1,a2,a3,a4,a6] |
j |
199176704/1159171 |
j-invariant |
L |
1.0999093070937 |
L(r)(E,1)/r! |
Ω |
0.27497732086732 |
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 |
102752f1 7904d1 |
Quadratic twists by: -4 13 |