Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bg |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
13603586048000000 = 220 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68675,4061250] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:2850:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
5.3257420108781 |
L(r)(E,1)/r! |
Ω |
0.36244562980562 |
Real period |
R |
3.6734764973627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050d1 3536j1 |
Quadratic twists by: -4 5 |