Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400dc |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
387200000000 = 213 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- -1 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-223208,-40515088] |
[a1,a2,a3,a4,a6] |
j |
6352571665/2 |
j-invariant |
L |
3.9536158284628 |
L(r)(E,1)/r! |
Ω |
0.21964532382513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050r2 48400ck2 48400db2 |
Quadratic twists by: -4 5 -11 |