Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072s |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
23401601254096704 = 26 · 313 · 475 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -1 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87474,-6707374] |
[a1,a2,a3,a4,a6] |
j |
1586547827987968/501577530309 |
j-invariant |
L |
1.1380743239577 |
L(r)(E,1)/r! |
Ω |
0.2845185809895 |
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 |
27072bg1 13536ba1 9024k1 |
Quadratic twists by: -4 8 -3 |