Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550bn |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7965000000 = -1 · 26 · 33 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -4 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,5247] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:75:1] |
Generators of the group modulo torsion |
j |
-14348907/18880 |
j-invariant |
L |
9.1834951460477 |
L(r)(E,1)/r! |
Ω |
1.1854658564941 |
Real period |
R |
0.16139040571651 |
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 |
26550c1 5310a1 |
Quadratic twists by: -3 5 |