Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360a |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11184854357376000 = 210 · 39 · 53 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90963,-9252738] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:170:1] |
Generators of the group modulo torsion |
j |
4129778780172/554931125 |
j-invariant |
L |
5.9653370846303 |
L(r)(E,1)/r! |
Ω |
0.27734967766717 |
Real period |
R |
5.3770903163511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360w2 |
Quadratic twists by: -3 |