Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450k |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-2223450 = -1 · 2 · 36 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -6 6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3,71] |
[a1,a2,a3,a4,a6] |
j |
135/122 |
j-invariant |
L |
2.029176790688 |
L(r)(E,1)/r! |
Ω |
2.0291767906886 |
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 |
3050h1 27450ca1 |
Quadratic twists by: -3 5 |