Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450p |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-9835831296000000 = -1 · 219 · 39 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205317,36176341] |
[a1,a2,a3,a4,a6] |
j |
-84033427451401/863502336 |
j-invariant |
L |
0.8200172289148 |
L(r)(E,1)/r! |
Ω |
0.41000861445746 |
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 |
9150r1 1098i1 |
Quadratic twists by: -3 5 |