Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bb |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-990247845888 = -1 · 216 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-47878] |
[a1,a2,a3,a4,a6] |
Generators |
[58:378:1] |
Generators of the group modulo torsion |
j |
-15625/331632 |
j-invariant |
L |
5.7819937208004 |
L(r)(E,1)/r! |
Ω |
0.40068552088574 |
Real period |
R |
1.803781712654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922p1 15792p1 |
Quadratic twists by: -4 -3 |