Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760bh |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1433048371200 = -1 · 212 · 311 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,69536] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:-324:1] [22:-180:1] |
Generators of the group modulo torsion |
j |
-379503424/479925 |
j-invariant |
L |
12.389254474901 |
L(r)(E,1)/r! |
Ω |
0.77006772088111 |
Real period |
R |
0.50276643447367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760t1 37920a1 |
Quadratic twists by: -4 -3 |