Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448g |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
24078939984 = 24 · 37 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-786,-4025] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1260:1] |
Generators of the group modulo torsion |
j |
4604090368/2064381 |
j-invariant |
L |
3.5681524625369 |
L(r)(E,1)/r! |
Ω |
0.94022383758442 |
Real period |
R |
3.7950031876616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37224f1 24816f1 |
Quadratic twists by: -4 -3 |