Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030p |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
162618015744000 = 220 · 34 · 53 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36816,-2651904] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:264:1] |
Generators of the group modulo torsion |
j |
5518667814929687809/162618015744000 |
j-invariant |
L |
8.1858958908612 |
L(r)(E,1)/r! |
Ω |
0.34528118948334 |
Real period |
R |
0.59269778807746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090t1 |
Quadratic twists by: -3 |