Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088bb |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-28938904473829376 = -1 · 217 · 13 · 198 |
Discriminant |
Eigenvalues |
2- -1 1 1 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72080,3368384] |
[a1,a2,a3,a4,a6] |
j |
214921799/150176 |
j-invariant |
L |
0.94422218392515 |
L(r)(E,1)/r! |
Ω |
0.2360555514225 |
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 |
9386i1 3952g1 |
Quadratic twists by: -4 -19 |