Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gl |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-160584362697560256 = -1 · 26 · 314 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46027,-19635839] |
[a1,a2,a3,a4,a6] |
j |
-1432197595648/21327258771 |
j-invariant |
L |
0.55428401383688 |
L(r)(E,1)/r! |
Ω |
0.13857068443027 |
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 |
122304ip1 61152bv1 17472cp1 |
Quadratic twists by: -4 8 -7 |