Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gd |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20810062686486528 = 215 · 33 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406177,99530593] |
[a1,a2,a3,a4,a6] |
j |
1922350562504/5398029 |
j-invariant |
L |
1.5389922844937 |
L(r)(E,1)/r! |
Ω |
0.38474820790616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304ik4 61152s4 17472co3 |
Quadratic twists by: -4 8 -7 |