Atkin-Lehner |
3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82365g |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6709806688561875 = 34 · 54 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52315,2361422] |
[a1,a2,a3,a4,a6] |
Generators |
[392:-6699:1] |
Generators of the group modulo torsion |
j |
656008386769/277981875 |
j-invariant |
L |
3.0356409745215 |
L(r)(E,1)/r! |
Ω |
0.3806639853158 |
Real period |
R |
0.99682432966618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845e2 |
Quadratic twists by: 17 |