Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088o |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-11547049459712 = -1 · 219 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 1 4 -2 -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1652056,-817858028] |
[a1,a2,a3,a4,a6] |
j |
-934165699635529/21632 |
j-invariant |
L |
1.5979919596198 |
L(r)(E,1)/r! |
Ω |
0.066582997897749 |
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 |
9386a1 75088bc1 |
Quadratic twists by: -4 -19 |