Atkin-Lehner |
2+ 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642z |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
119347200 |
Modular degree for the optimal curve |
Δ |
-3.0892608442131E+29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720281889,27757479103357] |
[a1,a2,a3,a4,a6] |
j |
-56689636044598180242501446929/423766919645143722926014464 |
j-invariant |
L |
1.8932509027113 |
L(r)(E,1)/r! |
Ω |
0.026295153340858 |
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 |
32214w1 |
Quadratic twists by: -3 |