Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550q |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1238716800 = -1 · 27 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[3:39:1] |
Generators of the group modulo torsion |
j |
-121945/67968 |
j-invariant |
L |
4.5798942337415 |
L(r)(E,1)/r! |
Ω |
1.2423174095519 |
Real period |
R |
1.8432866667278 |
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 |
8850bb1 26550cm1 |
Quadratic twists by: -3 5 |