Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840w |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
263533760000 = 29 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067,-96726] |
[a1,a2,a3,a4,a6] |
j |
123505992/4375 |
j-invariant |
L |
1.1982721962359 |
L(r)(E,1)/r! |
Ω |
0.59913609811797 |
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 |
7840h3 15680d3 70560z3 39200g3 |
Quadratic twists by: -4 8 -3 5 |