Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264j |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-3614745964544 = -1 · 212 · 11 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 3 -1 0 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59008,-5517904] |
[a1,a2,a3,a4,a6] |
Generators |
[45590742:203387977:157464] |
Generators of the group modulo torsion |
j |
-5547488993869824/882506339 |
j-invariant |
L |
12.414795902654 |
L(r)(E,1)/r! |
Ω |
0.15315729603918 |
Real period |
R |
10.132390242111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579e1 |
Quadratic twists by: -4 |