Atkin-Lehner |
2- 3- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182z |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-815231888501184 = -1 · 26 · 318 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367402,85696100] |
[a1,a2,a3,a4,a6] |
Generators |
[272:2294:1] |
Generators of the group modulo torsion |
j |
-5484642622505198343073/815231888501184 |
j-invariant |
L |
11.949570557495 |
L(r)(E,1)/r! |
Ω |
0.48521501940556 |
Real period |
R |
0.45606243584218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546w1 |
Quadratic twists by: -3 |