Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bo |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-6134986175416160256 = -1 · 212 · 36 · 173 · 535 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49779,-119246094] |
[a1,a2,a3,a4,a6] |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
2.1434562597513 |
L(r)(E,1)/r! |
Ω |
0.10717280909558 |
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 |
8109j1 14416h1 |
Quadratic twists by: -4 -3 |