Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245i |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-100283478434595 = -1 · 36 · 5 · 317 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -4 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11532,677745] |
[a1,a2,a3,a4,a6] |
j |
-262144/155 |
j-invariant |
L |
2.2171557777031 |
L(r)(E,1)/r! |
Ω |
0.55428894444715 |
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 |
4805b1 1395d1 |
Quadratic twists by: -3 -31 |