Atkin-Lehner |
2- 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27060a |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
26639510330400000 = 28 · 3 · 55 · 115 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80261,3890961] |
[a1,a2,a3,a4,a6] |
j |
223358691747364864/104060587228125 |
j-invariant |
L |
0.33584643500723 |
L(r)(E,1)/r! |
Ω |
0.33584643500734 |
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 |
108240bs1 81180s1 |
Quadratic twists by: -4 -3 |