Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152br |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3082943534727168 = 222 · 37 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50979,-3534302] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
2.5795760147481 |
L(r)(E,1)/r! |
Ω |
0.32244700184351 |
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 |
2394e1 76608ft1 6384bd1 |
Quadratic twists by: -4 8 -3 |