Atkin-Lehner |
5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645h |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4947479225 = 52 · 136 · 41 |
Discriminant |
Eigenvalues |
1 2 5- -2 -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3552,-82909] |
[a1,a2,a3,a4,a6] |
j |
1027243729/1025 |
j-invariant |
L |
2.4737249240457 |
L(r)(E,1)/r! |
Ω |
0.61843123101261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205b1 |
Quadratic twists by: 13 |