Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cu |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7694832084516864 = 216 · 36 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50584,-1150736] |
[a1,a2,a3,a4,a6] |
j |
29704593673/15968016 |
j-invariant |
L |
1.3553822271108 |
L(r)(E,1)/r! |
Ω |
0.33884558461302 |
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 |
10878s2 1776j2 |
Quadratic twists by: -4 -7 |