Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5406720 |
Modular degree for the optimal curve |
Δ |
-5.1795901400371E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 5 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4801057,4062231263] |
[a1,a2,a3,a4,a6] |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
6.4269311219389 |
L(r)(E,1)/r! |
Ω |
0.20084161299231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304x1 30576l1 122304es1 |
Quadratic twists by: -4 8 -7 |