Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705p |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-143014359375 = -1 · 34 · 56 · 173 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49,18191] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:137:1] |
Generators of the group modulo torsion |
j |
-2571353/29109375 |
j-invariant |
L |
9.6923147565783 |
L(r)(E,1)/r! |
Ω |
0.82612412513022 |
Real period |
R |
2.9330685510704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99705h1 |
Quadratic twists by: 17 |