Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bu |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.6571516827272E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31943312,31518833088] |
[a1,a2,a3,a4,a6] |
j |
7480237168421652097/3438856662962112 |
j-invariant |
L |
2.4126683542778 |
L(r)(E,1)/r! |
Ω |
0.075395886674309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114y3 10416bl3 |
Quadratic twists by: -4 -7 |