Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576d |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
92926361006954496 = 211 · 39 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118179,-5423490] |
[a1,a2,a3,a4,a6] |
j |
4528177054182/2305248169 |
j-invariant |
L |
2.1745555507043 |
L(r)(E,1)/r! |
Ω |
0.27181944383804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152g2 76608x2 9576q2 67032g2 |
Quadratic twists by: -4 8 -3 -7 |