Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468k |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1078423632 = 24 · 34 · 112 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,5136] |
[a1,a2,a3,a4,a6] |
Generators |
[19:33:1] |
Generators of the group modulo torsion |
j |
1443776512000/67401477 |
j-invariant |
L |
7.6548212841669 |
L(r)(E,1)/r! |
Ω |
1.5341699163621 |
Real period |
R |
0.41579603854648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404a1 |
Quadratic twists by: -3 |