Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140d |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
724767426000 = 24 · 310 · 53 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6888,-216187] |
[a1,a2,a3,a4,a6] |
Generators |
[251:3724:1] |
Generators of the group modulo torsion |
j |
3098529366016/62137125 |
j-invariant |
L |
4.4361792143121 |
L(r)(E,1)/r! |
Ω |
0.52469338243294 |
Real period |
R |
4.2274015289465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380h1 |
Quadratic twists by: -3 |