Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386t |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
83376457542 = 2 · 37 · 72 · 733 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 3 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23508,-1381374] |
[a1,a2,a3,a4,a6] |
j |
40221433203217/2334102 |
j-invariant |
L |
2.3133829602883 |
L(r)(E,1)/r! |
Ω |
0.38556382530906 |
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 |
21462bc1 64386j1 |
Quadratic twists by: -3 -7 |