Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19344m |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-237185854982848512 = -1 · 227 · 33 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48568,-23774864] |
[a1,a2,a3,a4,a6] |
Generators |
[9300:13312:27] |
Generators of the group modulo torsion |
j |
-3093309431277625/57906702876672 |
j-invariant |
L |
4.5580255763155 |
L(r)(E,1)/r! |
Ω |
0.13483045582391 |
Real period |
R |
2.81713402489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418b2 77376bi2 58032bf2 |
Quadratic twists by: -4 8 -3 |