Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520f |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
564602918400 = 29 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7563,250562] |
[a1,a2,a3,a4,a6] |
j |
128176534088/1512675 |
j-invariant |
L |
1.8490100940668 |
L(r)(E,1)/r! |
Ω |
0.92450486361437 |
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 |
119520t2 39840j2 |
Quadratic twists by: -4 -3 |