Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475d |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9106560 |
Modular degree for the optimal curve |
Δ |
-1.2682727877391E+23 |
Discriminant |
Eigenvalues |
0 3 5+ 2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4176050,-16816431344] |
[a1,a2,a3,a4,a6] |
Generators |
[93714595006759952709699890653140:1597641167691240444425447785968184:44537749860892402854000737757] |
Generators of the group modulo torsion |
j |
255688704/4026275 |
j-invariant |
L |
10.166770035504 |
L(r)(E,1)/r! |
Ω |
0.050946492199153 |
Real period |
R |
49.889450660122 |
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 |
15895b1 79475w1 |
Quadratic twists by: 5 17 |