Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928er |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
185794560 |
Modular degree for the optimal curve |
Δ |
-7.3486233380176E+29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2402511564,-61282187883632] |
[a1,a2,a3,a4,a6] |
Generators |
[2797787049852061758556:5105857072338766345422744:839869682390549] |
Generators of the group modulo torsion |
j |
-8025141932308829504241073/3845373573888057802752 |
j-invariant |
L |
8.1769040952604 |
L(r)(E,1)/r! |
Ω |
0.0105406863639 |
Real period |
R |
32.322784909148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bk1 29232bp1 38976bw1 |
Quadratic twists by: -4 8 -3 |