Atkin-Lehner |
2- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29068a |
Isogeny class |
Conductor |
29068 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
143208 |
Modular degree for the optimal curve |
Δ |
-16603213423244032 = -1 · 28 · 138 · 433 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -5 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70304,-9482252] |
[a1,a2,a3,a4,a6] |
j |
-184025088/79507 |
j-invariant |
L |
0.1435769708675 |
L(r)(E,1)/r! |
Ω |
0.14357697086662 |
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 |
116272o1 29068b1 |
Quadratic twists by: -4 13 |