Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650h |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-2000260366607576250 = -1 · 2 · 32 · 54 · 1910 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,204000,-57988350] |
[a1,a2,a3,a4,a6] |
Generators |
[699435:-18920460:1331] |
Generators of the group modulo torsion |
j |
1502210767778495975/3200416586572122 |
j-invariant |
L |
4.1844175569314 |
L(r)(E,1)/r! |
Ω |
0.13626439876252 |
Real period |
R |
2.5590063611377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650cf2 |
Quadratic twists by: 5 |