Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050h |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-698337296093750 = -1 · 2 · 58 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13350,-1118750] |
[a1,a2,a3,a4,a6] |
j |
357911/950 |
j-invariant |
L |
1.0478969032387 |
L(r)(E,1)/r! |
Ω |
0.26197422580968 |
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 |
3610g1 950d1 |
Quadratic twists by: 5 -19 |