Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608by |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2759680 |
Modular degree for the optimal curve |
Δ |
-13035106495173312 = -1 · 26 · 311 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8448243,-9448620147] |
[a1,a2,a3,a4,a6] |
j |
-1041940648016491636288000/203673538987083 |
j-invariant |
L |
2.169573470337 |
L(r)(E,1)/r! |
Ω |
0.04427697582585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608dl1 62304m1 |
Quadratic twists by: -4 8 |