Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bc |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-403501500000 = -1 · 25 · 39 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1645,16147] |
[a1,a2,a3,a4,a6] |
j |
1601613/1312 |
j-invariant |
L |
6.1184496390296 |
L(r)(E,1)/r! |
Ω |
0.61184496390296 |
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 |
18450e1 738a1 |
Quadratic twists by: -3 5 |