Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342n |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1444985655175062528 = 210 · 3 · 117 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2007942731,34631635202294] |
[a1,a2,a3,a4,a6] |
j |
505384091400037554067434625/815656731648 |
j-invariant |
L |
1.4670977125193 |
L(r)(E,1)/r! |
Ω |
0.12225814270995 |
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 |
98736cg3 37026y3 1122m3 |
Quadratic twists by: -4 -3 -11 |