Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192q |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
801189328762944 = 26 · 38 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393141,94869340] |
[a1,a2,a3,a4,a6] |
Generators |
[8679:35308:27] |
Generators of the group modulo torsion |
j |
144032740431412672/17172267849 |
j-invariant |
L |
6.6874713283798 |
L(r)(E,1)/r! |
Ω |
0.48376345336096 |
Real period |
R |
6.9119228434062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60192j1 120384bu2 20064i1 |
Quadratic twists by: -4 8 -3 |