Atkin-Lehner |
2- 3- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030s |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6757500 = 22 · 3 · 54 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186,-984] |
[a1,a2,a3,a4,a6] |
j |
711882749089/6757500 |
j-invariant |
L |
5.1738996381449 |
L(r)(E,1)/r! |
Ω |
1.2934749095363 |
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 |
81090p1 |
Quadratic twists by: -3 |