Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984j |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3189888 |
Modular degree for the optimal curve |
Δ |
-1983754847986977792 = -1 · 210 · 3 · 718 |
Discriminant |
Eigenvalues |
2- 3- 4 0 6 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119304,-65842368] |
[a1,a2,a3,a4,a6] |
j |
284/3 |
j-invariant |
L |
6.9803361953505 |
L(r)(E,1)/r! |
Ω |
0.12926550368036 |
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 |
120984k1 |
Quadratic twists by: -71 |