Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bv |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2768289513472 = -1 · 214 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1156,-78608] |
[a1,a2,a3,a4,a6] |
j |
432/7 |
j-invariant |
L |
3.1503771583973 |
L(r)(E,1)/r! |
Ω |
0.39379701614552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472z1 32368a1 448b1 |
Quadratic twists by: -4 8 17 |