Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858d |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-4428483113120768 = -1 · 210 · 137 · 413 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128218,-17927116] |
[a1,a2,a3,a4,a6] |
j |
-48296148523713/917476352 |
j-invariant |
L |
3.0241562419275 |
L(r)(E,1)/r! |
Ω |
0.12600651008031 |
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 |
110864q1 124722bp1 1066d1 |
Quadratic twists by: -4 -3 13 |