Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907bd |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
993168 |
Modular degree for the optimal curve |
Δ |
-10974206448134523 = -1 · 311 · 118 · 172 |
Discriminant |
Eigenvalues |
0 3- -4 -3 11- 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,15085,-4984435] |
[a1,a2,a3,a4,a6] |
Generators |
[403:8167:1] |
Generators of the group modulo torsion |
j |
6127616/177147 |
j-invariant |
L |
4.2557233345295 |
L(r)(E,1)/r! |
Ω |
0.19529788920163 |
Real period |
R |
0.6603313283228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998893009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104907bc1 104907u1 |
Quadratic twists by: -11 17 |