Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ez |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-21175738564608000 = -1 · 224 · 312 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12972,7024336] |
[a1,a2,a3,a4,a6] |
Generators |
[42:2560:1] |
Generators of the group modulo torsion |
j |
-1263214441/110808000 |
j-invariant |
L |
5.7436091627021 |
L(r)(E,1)/r! |
Ω |
0.31515198221421 |
Real period |
R |
1.5187405566362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bs1 13680bc1 18240cn1 |
Quadratic twists by: -4 8 -3 |