Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162cl |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
685707264 |
Modular degree for the optimal curve |
Δ |
-1.0407786307729E+31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-778271793476,-264268138139179545] |
[a1,a2,a3,a4,a6] |
Generators |
[1188045251396983:297044511756955551:1134626507] |
Generators of the group modulo torsion |
j |
-2757167843058062374010456353/550432396263555072 |
j-invariant |
L |
6.3015113629987 |
L(r)(E,1)/r! |
Ω |
0.0025414802031065 |
Real period |
R |
21.749693504334 |
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 |
21054e1 63162w1 |
Quadratic twists by: -3 -11 |