Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bo |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
8736144144 = 24 · 3 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702,-5811] |
[a1,a2,a3,a4,a6] |
j |
20353792/4641 |
j-invariant |
L |
3.7703030186165 |
L(r)(E,1)/r! |
Ω |
0.94257593339099 |
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 |
18564b1 |
Quadratic twists by: -7 |