Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200f |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-8115380000000000 = -1 · 211 · 510 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18125,-4231250] |
[a1,a2,a3,a4,a6] |
j |
32925150/405769 |
j-invariant |
L |
1.6293725653427 |
L(r)(E,1)/r! |
Ω |
0.20367157066784 |
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 |
36400c1 18200z1 127400p1 |
Quadratic twists by: -4 5 -7 |