Atkin-Lehner |
2+ 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28536d |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13184 |
Modular degree for the optimal curve |
Δ |
-149756928 = -1 · 210 · 3 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,624] |
[a1,a2,a3,a4,a6] |
j |
-55990084/146247 |
j-invariant |
L |
1.6157078171138 |
L(r)(E,1)/r! |
Ω |
1.6157078171156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57072b1 85608w1 |
Quadratic twists by: -4 -3 |