Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550cm |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-19354950000000 = -1 · 27 · 38 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,211947] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:465:1] |
Generators of the group modulo torsion |
j |
-121945/67968 |
j-invariant |
L |
8.4248476308784 |
L(r)(E,1)/r! |
Ω |
0.55558123547788 |
Real period |
R |
0.36104820942427 |
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 |
8850d1 26550q1 |
Quadratic twists by: -3 5 |