Atkin-Lehner |
2+ 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150f |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
159120 |
Modular degree for the optimal curve |
Δ |
-2467067187500 = -1 · 22 · 58 · 313 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1549,-71702] |
[a1,a2,a3,a4,a6] |
Generators |
[42305:761876:125] |
Generators of the group modulo torsion |
j |
1053224375/6315692 |
j-invariant |
L |
5.2834954049601 |
L(r)(E,1)/r! |
Ω |
0.40752772168108 |
Real period |
R |
6.4823754610147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991345 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82150l1 |
Quadratic twists by: 5 |