Atkin-Lehner |
2+ 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130k |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
8562278400000 = 220 · 3 · 55 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170459,27073382] |
[a1,a2,a3,a4,a6] |
Generators |
[450918861:-424395112:1860867] |
Generators of the group modulo torsion |
j |
547746812088336226729/8562278400000 |
j-invariant |
L |
3.343986062862 |
L(r)(E,1)/r! |
Ω |
0.67213860709988 |
Real period |
R |
9.950287120957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390cb1 |
Quadratic twists by: -3 |