Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020a |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
8118692738000 = 24 · 53 · 136 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5408,-68107] |
[a1,a2,a3,a4,a6] |
j |
226492416/105125 |
j-invariant |
L |
2.328544638836 |
L(r)(E,1)/r! |
Ω |
0.58213614926497 |
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 |
580b1 |
Quadratic twists by: 13 |