Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200cm |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-46792968750000 = -1 · 24 · 32 · 512 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7967,185438] |
[a1,a2,a3,a4,a6] |
j |
223673040896/187171875 |
j-invariant |
L |
2.4762226594975 |
L(r)(E,1)/r! |
Ω |
0.41270377658292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3300c3 52800ep3 39600dm3 2640p3 |
Quadratic twists by: -4 8 -3 5 |