Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816h |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-121997698301952 = -1 · 215 · 32 · 112 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81313,8967553] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:3784:1] [144:473:1] |
Generators of the group modulo torsion |
j |
-1814508769373000/3723074289 |
j-invariant |
L |
9.4403208907282 |
L(r)(E,1)/r! |
Ω |
0.5893058970961 |
Real period |
R |
1.0012118639677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816bh2 45408i2 |
Quadratic twists by: -4 8 |