Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fv |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
2592292365141811200 = 213 · 310 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2164955,1224178827] |
[a1,a2,a3,a4,a6] |
j |
287250720625/663552 |
j-invariant |
L |
6.6842077863291 |
L(r)(E,1)/r! |
Ω |
0.25708491488088 |
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 |
18150k1 54450dn1 54450ci1 |
Quadratic twists by: -3 5 -11 |