Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992fe |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1785119358360748032 = 218 · 322 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-745356,239194384] |
[a1,a2,a3,a4,a6] |
j |
239633492476897/9341138457 |
j-invariant |
L |
1.0496066500338 |
L(r)(E,1)/r! |
Ω |
0.26240155179284 |
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 |
124992cs3 31248bp3 41664dn3 |
Quadratic twists by: -4 8 -3 |