Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024i |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
491437755648 = 28 · 32 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10012,387472] |
[a1,a2,a3,a4,a6] |
j |
3685542352/16317 |
j-invariant |
L |
3.7456564931919 |
L(r)(E,1)/r! |
Ω |
0.9364141193265 |
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 |
43512bg2 12432r2 |
Quadratic twists by: -4 -7 |