Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bb |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1729687500000 = -1 · 25 · 33 · 511 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-536480,-151109853] |
[a1,a2,a3,a4,a6] |
j |
-40476203551642923/4100000 |
j-invariant |
L |
3.5281027678126 |
L(r)(E,1)/r! |
Ω |
0.088202569195315 |
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 |
18450d1 3690b1 |
Quadratic twists by: -3 5 |