Atkin-Lehner |
2- 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582z |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
36373787490111552 = 26 · 38 · 132 · 175 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2390081,-1421593455] |
[a1,a2,a3,a4,a6] |
j |
2071256440511429481673/49895456090688 |
j-invariant |
L |
1.4570628249409 |
L(r)(E,1)/r! |
Ω |
0.12142190484735 |
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 |
25194f1 |
Quadratic twists by: -3 |