Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hn |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
43868160 |
Modular degree for the optimal curve |
Δ |
-2.2977441702997E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-315117889,-2165489390401] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
4.5131473433218 |
L(r)(E,1)/r! |
Ω |
0.017909315930097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304be1 30576cg1 17472ck1 |
Quadratic twists by: -4 8 -7 |