Atkin-Lehner |
2+ 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170n |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2609328070800000 = -1 · 27 · 310 · 55 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,-2457675] |
[a1,a2,a3,a4,a6] |
Generators |
[141:510:1] |
Generators of the group modulo torsion |
j |
13651919/3579325200000 |
j-invariant |
L |
1.8312458216499 |
L(r)(E,1)/r! |
Ω |
0.20911611200373 |
Real period |
R |
4.3785383242151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27390bg1 |
Quadratic twists by: -3 |