Atkin-Lehner |
2- 3- 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bq |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-276097699771265268 = -1 · 22 · 313 · 135 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 0 1 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1244525,-534670455] |
[a1,a2,a3,a4,a6] |
j |
-292419770586111519625/378734841935892 |
j-invariant |
L |
4.2878166469472 |
L(r)(E,1)/r! |
Ω |
0.071463611230787 |
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 |
25194h1 |
Quadratic twists by: -3 |