Atkin-Lehner |
5+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825f |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-13107021484375 = -1 · 510 · 74 · 13 · 43 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9917,420616] |
[a1,a2,a3,a4,a6] |
j |
-6903498885921/838849375 |
j-invariant |
L |
1.3763496440319 |
L(r)(E,1)/r! |
Ω |
0.68817491527672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19565h1 |
Quadratic twists by: 5 |