Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
18180a |
Isogeny class |
Conductor |
18180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-11044350000 = -1 · 24 · 37 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-5227] |
[a1,a2,a3,a4,a6] |
j |
-112377856/946875 |
j-invariant |
L |
2.1588300728043 |
L(r)(E,1)/r! |
Ω |
0.53970751820108 |
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 |
72720bl1 6060c1 90900j1 |
Quadratic twists by: -4 -3 5 |