Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
3.2175696331406E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5299758,3819850488] |
[a1,a2,a3,a4,a6] |
j |
139927692143296/27348890625 |
j-invariant |
L |
1.6127163411579 |
L(r)(E,1)/r! |
Ω |
0.13439304808128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600fb1 23520j1 16800bj1 |
Quadratic twists by: -4 5 -7 |