Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342c |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-234929308408213122 = -1 · 2 · 38 · 118 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,97161,-20156913] |
[a1,a2,a3,a4,a6] |
j |
57258048889007/132611470002 |
j-invariant |
L |
0.64908388336198 |
L(r)(E,1)/r! |
Ω |
0.1622709708405 |
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 |
98736db3 37026bn3 1122h4 |
Quadratic twists by: -4 -3 -11 |