Atkin-Lehner |
2+ 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760t |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
8 |
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] |
j |
-379503424/479925 |
j-invariant |
L |
2.6702597545273 |
L(r)(E,1)/r! |
Ω |
0.33378238364286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760bh1 37920o1 |
Quadratic twists by: -4 -3 |