Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bc |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2431714132582576128 = -1 · 212 · 37 · 710 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63300,75276448] |
[a1,a2,a3,a4,a6] |
j |
-9393931000000/814376142867 |
j-invariant |
L |
0.84911495710978 |
L(r)(E,1)/r! |
Ω |
0.21227877750305 |
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 |
124992dc2 62496be1 41664bf2 |
Quadratic twists by: -4 8 -3 |