Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
994563760619520 = 215 · 34 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227841,-41756319] |
[a1,a2,a3,a4,a6] |
j |
39918233807262728/30351677265 |
j-invariant |
L |
1.748240715042 |
L(r)(E,1)/r! |
Ω |
0.21853009206129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ge4 43680ch4 |
Quadratic twists by: -4 8 |