Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bn |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
62920000000000 = 212 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1313333,-579747037] |
[a1,a2,a3,a4,a6] |
Generators |
[-40372255107431662766:683591913844556549:60987580026895367] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
8.2415999768257 |
L(r)(E,1)/r! |
Ω |
0.14102815342705 |
Real period |
R |
29.219697544608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575a1 57200cl1 |
Quadratic twists by: -4 5 |