Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920he |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-86392113561600 = -1 · 215 · 3 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4705,-465697] |
[a1,a2,a3,a4,a6] |
j |
-351596839112/2636478075 |
j-invariant |
L |
4.0772013945268 |
L(r)(E,1)/r! |
Ω |
0.2548250850637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fx3 36960f2 |
Quadratic twists by: -4 8 |