Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805q |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
579552594150022885 = 5 · 710 · 177 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-231296,22249422] |
[a1,a2,a3,a4,a6] |
j |
200704/85 |
j-invariant |
L |
0.52508627924277 |
L(r)(E,1)/r! |
Ω |
0.26254312439913 |
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 |
70805bb1 4165p1 |
Quadratic twists by: -7 17 |