Atkin-Lehner |
2- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10672d |
Isogeny class |
Conductor |
10672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-886603639282466816 = -1 · 236 · 232 · 293 |
Discriminant |
Eigenvalues |
2- -1 -3 4 3 5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-767112,262798576] |
[a1,a2,a3,a4,a6] |
j |
-12188230526616079753/216455966621696 |
j-invariant |
L |
1.1235366597109 |
L(r)(E,1)/r! |
Ω |
0.28088416492772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1334c2 42688p2 96048bt2 |
Quadratic twists by: -4 8 -3 |