Atkin-Lehner |
2- 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582x |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1556480 |
Modular degree for the optimal curve |
Δ |
3282734320982567568 = 24 · 38 · 132 · 175 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2452325,1476178701] |
[a1,a2,a3,a4,a6] |
j |
2237330248951771599625/4503064912184592 |
j-invariant |
L |
4.0294950484783 |
L(r)(E,1)/r! |
Ω |
0.25184344081387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194e1 |
Quadratic twists by: -3 |