Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bv |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
77512106377216 = 216 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21964,-1179120] |
[a1,a2,a3,a4,a6] |
j |
740772/49 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
129472z2 32368a2 448b2 |
Quadratic twists by: -4 8 17 |