Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624d |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14855697532928 = 211 · 72 · 236 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21336,1192268] |
[a1,a2,a3,a4,a6] |
j |
3543122/49 |
j-invariant |
L |
5.6269069173899 |
L(r)(E,1)/r! |
Ω |
0.70336336467364 |
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 |
59248p2 56b2 |
Quadratic twists by: -4 -23 |