Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ce |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1016400000000 = 210 · 3 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4221,92355] |
[a1,a2,a3,a4,a6] |
j |
8124052043776/992578125 |
j-invariant |
L |
1.6934874997769 |
L(r)(E,1)/r! |
Ω |
0.84674377083806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fa1 9240u1 |
Quadratic twists by: -4 8 |