Atkin-Lehner |
2- 3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576x |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-281699303424 = -1 · 214 · 3 · 75 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2784,62976] |
[a1,a2,a3,a4,a6] |
j |
-582810602977/68774244 |
j-invariant |
L |
1.8967597348978 |
L(r)(E,1)/r! |
Ω |
0.94838014850114 |
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 |
14322m1 |
Quadratic twists by: -4 |