Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1334c |
Isogeny class |
Conductor |
1334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-216455966621696 = -1 · 224 · 232 · 293 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 -3 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47945,-4106228] |
[a1,a2,a3,a4,a6] |
j |
-12188230526616079753/216455966621696 |
j-invariant |
L |
0.64459532529239 |
L(r)(E,1)/r! |
Ω |
0.1611488313231 |
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 |
10672d2 42688k2 12006p2 33350k2 |
Quadratic twists by: -4 8 -3 5 |