Atkin-Lehner |
2- 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
8034h |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
213696 |
Modular degree for the optimal curve |
Δ |
27478038929349528 = 23 · 312 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -3 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-751641,-250756767] |
[a1,a2,a3,a4,a6] |
j |
46962924452705609230609/27478038929349528 |
j-invariant |
L |
5.837335956837 |
L(r)(E,1)/r! |
Ω |
0.16214822102325 |
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 |
64272l1 24102j1 104442s1 |
Quadratic twists by: -4 -3 13 |