Atkin-Lehner |
2- 3- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170ba |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2799360 |
Modular degree for the optimal curve |
Δ |
-1869486328125000000 = -1 · 26 · 36 · 515 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97987,-64740283] |
[a1,a2,a3,a4,a6] |
Generators |
[119133:1083172:343] |
Generators of the group modulo torsion |
j |
142726863845287799/2564453125000000 |
j-invariant |
L |
12.886040387433 |
L(r)(E,1)/r! |
Ω |
0.12840041891033 |
Real period |
R |
8.363186848827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130c1 |
Quadratic twists by: -3 |