Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bo |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48197095485603840 = 221 · 314 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92748,-2574992] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2880:1] |
Generators of the group modulo torsion |
j |
461710681489/252204840 |
j-invariant |
L |
5.103418679512 |
L(r)(E,1)/r! |
Ω |
0.29212385703109 |
Real period |
R |
2.1837563750565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ed2 2790k2 29760bj2 |
Quadratic twists by: -4 8 -3 |