Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8526z |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-173403646054128 = -1 · 24 · 33 · 712 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21610,-1378924] |
[a1,a2,a3,a4,a6] |
j |
-9486391169809/1473906672 |
j-invariant |
L |
2.3425366431083 |
L(r)(E,1)/r! |
Ω |
0.19521138692569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208bn1 25578ba1 1218e1 |
Quadratic twists by: -4 -3 -7 |