Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550b |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-2548800 = -1 · 26 · 33 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] |
Generators of the group modulo torsion |
j |
-3292515/3776 |
j-invariant |
L |
4.558940251943 |
L(r)(E,1)/r! |
Ω |
2.3285387080727 |
Real period |
R |
0.48946365333522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26550bm1 26550bo1 |
Quadratic twists by: -3 5 |