Atkin-Lehner |
2+ 3- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170k |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-11964712500 = -1 · 22 · 36 · 55 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,5265] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:57:1] [-9:72:1] |
Generators of the group modulo torsion |
j |
-117649/16412500 |
j-invariant |
L |
9.2506551959655 |
L(r)(E,1)/r! |
Ω |
1.0117514039011 |
Real period |
R |
0.45716048257498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130f1 |
Quadratic twists by: -3 |