Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504bz |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1780612344496128 = 214 · 3 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118136,-15456912] |
[a1,a2,a3,a4,a6] |
j |
25128011089/245388 |
j-invariant |
L |
1.0306701997933 |
L(r)(E,1)/r! |
Ω |
0.25766755544958 |
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 |
9438q2 6864l2 |
Quadratic twists by: -4 -11 |