Atkin-Lehner |
2- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98696c |
Isogeny class |
Conductor |
98696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
452352 |
Modular degree for the optimal curve |
Δ |
12977314579216 = 24 · 134 · 734 |
Discriminant |
Eigenvalues |
2- 1 2 3 -3 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298172,62568845] |
[a1,a2,a3,a4,a6] |
j |
6415527219182848/28398241 |
j-invariant |
L |
2.5019001187627 |
L(r)(E,1)/r! |
Ω |
0.62547503364716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98696b1 |
Quadratic twists by: 13 |