Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640dj |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
16708800 = 26 · 3 · 52 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,-222] |
[a1,a2,a3,a4,a6] |
Generators |
[138:495:8] |
Generators of the group modulo torsion |
j |
895841344/261075 |
j-invariant |
L |
6.0188700483711 |
L(r)(E,1)/r! |
Ω |
1.6302827294188 |
Real period |
R |
3.6919179352313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640ci1 28320e2 |
Quadratic twists by: -4 8 |