Atkin-Lehner |
2+ 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
79992h |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14676480 |
Modular degree for the optimal curve |
Δ |
-5.7263309817652E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 -5 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25635603,-51268430770] |
[a1,a2,a3,a4,a6] |
Generators |
[2540716183453980875635678894725862714470010:2934874253913493299132359199899619166502756817:1904071280401686052505681463948409000] |
Generators of the group modulo torsion |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
8.0778452294646 |
L(r)(E,1)/r! |
Ω |
0.03348674637365 |
Real period |
R |
60.30628609996 |
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 |
8888c1 |
Quadratic twists by: -3 |