Atkin-Lehner |
2+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334f |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34134912 |
Modular degree for the optimal curve |
Δ |
-2.3113169455858E+24 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,27538081,-47499650886] |
[a1,a2,a3,a4,a6] |
j |
331080332624035991/331335624143272 |
j-invariant |
L |
2.2273489960984 |
L(r)(E,1)/r! |
Ω |
0.044546978767905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117334j1 |
Quadratic twists by: 17 |