Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82140a |
Isogeny class |
Conductor |
82140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3324672 |
Modular degree for the optimal curve |
Δ |
-2.2400107121655E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,540299,2271788926] |
[a1,a2,a3,a4,a6] |
j |
310378496/39858075 |
j-invariant |
L |
0.67360023937132 |
L(r)(E,1)/r! |
Ω |
0.11226669450418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82140c1 |
Quadratic twists by: 37 |