Atkin-Lehner |
2- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29068d |
Isogeny class |
Conductor |
29068 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30888 |
Modular degree for the optimal curve |
Δ |
-561222736048 = -1 · 24 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 2 -2 2 3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2929,71850] |
[a1,a2,a3,a4,a6] |
j |
-212992/43 |
j-invariant |
L |
2.6488431503889 |
L(r)(E,1)/r! |
Ω |
0.88294771679631 |
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 |
116272u1 29068c1 |
Quadratic twists by: -4 13 |