Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400n |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
13284752000000 = 210 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41808,-3299612] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:68:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
3.9967772191361 |
L(r)(E,1)/r! |
Ω |
0.33390791857048 |
Real period |
R |
0.99747490280588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200i1 3536a1 |
Quadratic twists by: -4 5 |