Atkin-Lehner |
3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2655b |
Isogeny class |
Conductor |
2655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
27726165 = 33 · 5 · 593 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -3 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-78,78] |
[a1,a2,a3,a4,a6] |
j |
1943764992/1026895 |
j-invariant |
L |
1.2311561303365 |
L(r)(E,1)/r! |
Ω |
1.8467341955048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42480s1 2655c2 13275e1 |
Quadratic twists by: -4 -3 5 |