Atkin-Lehner |
2- 3+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816k |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
43107072 = 28 · 3 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668,-6420] |
[a1,a2,a3,a4,a6] |
j |
128962402000/168387 |
j-invariant |
L |
1.8780853335534 |
L(r)(E,1)/r! |
Ω |
0.93904266767192 |
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 |
18204b2 |
Quadratic twists by: -4 |