Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590f |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
237267829906250 = 2 · 56 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18593,-642637] |
[a1,a2,a3,a4,a6] |
j |
147281603041/49156250 |
j-invariant |
L |
0.83964023922205 |
L(r)(E,1)/r! |
Ω |
0.41982011961102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92950cm2 1430i2 |
Quadratic twists by: 5 13 |