Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965h |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-37139858912446875 = -1 · 315 · 55 · 134 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-516018,-142975152] |
[a1,a2,a3,a4,a6] |
Generators |
[854:6259:1] |
Generators of the group modulo torsion |
j |
-20844464253240180736/50946308521875 |
j-invariant |
L |
2.937695357824 |
L(r)(E,1)/r! |
Ω |
0.089051195982715 |
Real period |
R |
4.1236045813386 |
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 |
5655g1 84825j1 |
Quadratic twists by: -3 5 |