Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448bn |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-7815253248 = -1 · 28 · 310 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,5794] |
[a1,a2,a3,a4,a6] |
j |
-61918288/41877 |
j-invariant |
L |
2.4276497656999 |
L(r)(E,1)/r! |
Ω |
1.2138248991882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18612f1 24816s1 |
Quadratic twists by: -4 -3 |