Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628s |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
3932943567098832 = 24 · 36 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,28183925] |
[a1,a2,a3,a4,a6] |
j |
1982464/13 |
j-invariant |
L |
0.44293888315622 |
L(r)(E,1)/r! |
Ω |
0.44293888599824 |
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 |
6292f1 56628ba1 |
Quadratic twists by: -3 -11 |