Atkin-Lehner |
2- 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304p |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9861120 |
Modular degree for the optimal curve |
Δ |
-2.266632148842E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89412952,326198745620] |
[a1,a2,a3,a4,a6] |
j |
-19300344879475253746008793/55337698946338258944 |
j-invariant |
L |
4.9861150443273 |
L(r)(E,1)/r! |
Ω |
0.099722300887504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5538f1 |
Quadratic twists by: -4 |