Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120h |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-1.97629621875E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74598685,-248891883275] |
[a1,a2,a3,a4,a6] |
j |
-11208752659685576960943616/48249419403076171875 |
j-invariant |
L |
1.7461591081417 |
L(r)(E,1)/r! |
Ω |
0.025678810453083 |
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 |
57120cj1 114240cs1 |
Quadratic twists by: -4 8 |