Atkin-Lehner |
2- 3- |
Signs for the Atkin-Lehner involutions |
Class |
576i |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
107495424 = 214 · 38 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,560] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
1.9003720950219 |
L(r)(E,1)/r! |
Ω |
1.7607876529006 |
Real period |
R |
1.0792738646772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
576d2 144b2 192d2 14400ds2 |
Quadratic twists by: -4 8 -3 5 |