Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bt |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9158595296917248 = 28 · 32 · 77 · 136 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-300876,63255492] |
[a1,a2,a3,a4,a6] |
j |
20720464/63 |
j-invariant |
L |
4.9457155321976 |
L(r)(E,1)/r! |
Ω |
0.41214295385026 |
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 |
14196f2 588f2 |
Quadratic twists by: -7 13 |