Atkin-Lehner |
2+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19240d |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9143906969600 = -1 · 211 · 52 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2083,-150018] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4158:1] |
Generators of the group modulo torsion |
j |
-488046912498/4464798325 |
j-invariant |
L |
5.2844511074844 |
L(r)(E,1)/r! |
Ω |
0.30902668096339 |
Real period |
R |
5.7001023245093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38480f2 96200q2 |
Quadratic twists by: -4 5 |