Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040d |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269256960000 = 211 · 34 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1736,-11760] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:70:1] [-32:100:1] |
Generators of the group modulo torsion |
j |
282678688658/131473125 |
j-invariant |
L |
9.1416699050808 |
L(r)(E,1)/r! |
Ω |
0.77348376709464 |
Real period |
R |
1.4773532254189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520k2 |
Quadratic twists by: -4 |