Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528h |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27629320402944 = 211 · 38 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7106306691,-230575964287970] |
[a1,a2,a3,a4,a6] |
j |
26582637653663608426521740546/18506007 |
j-invariant |
L |
1.5785553012381 |
L(r)(E,1)/r! |
Ω |
0.016443284387897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056j4 7176o4 |
Quadratic twists by: -4 -3 |