Atkin-Lehner |
2- 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bo |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
1539 |
Product of Tamagawa factors cp |
deg |
5951128320 |
Modular degree for the optimal curve |
Δ |
-1.3572453410695E+34 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20248916288482,-35071215461148002236] |
[a1,a2,a3,a4,a6] |
j |
-54063014687674321546417132674220033/799152296719442484658176 |
j-invariant |
L |
1.731837236642 |
L(r)(E,1)/r! |
Ω |
0.0011253020560893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127794h1 |
Quadratic twists by: -19 |