Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102752f |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
12 |
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 |
2.2859128712419 |
L(r)(E,1)/r! |
Ω |
0.19049275596161 |
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 |
102752j1 7904e1 |
Quadratic twists by: -4 13 |