Atkin-Lehner |
5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2185b |
Isogeny class |
Conductor |
2185 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1176 |
Modular degree for the optimal curve |
Δ |
-549035875 = -1 · 53 · 192 · 233 |
Discriminant |
Eigenvalues |
0 -2 5- 5 6 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5,-1126] |
[a1,a2,a3,a4,a6] |
j |
11239424/549035875 |
j-invariant |
L |
1.5122804957794 |
L(r)(E,1)/r! |
Ω |
0.75614024788968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34960i1 19665q1 10925c1 107065c1 |
Quadratic twists by: -4 -3 5 -7 |