Atkin-Lehner |
2- 11- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264m |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-210599673856 = -1 · 219 · 11 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 2 -3 1 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48192,-4056064] |
[a1,a2,a3,a4,a6] |
j |
-3022022033428033/51415936 |
j-invariant |
L |
1.2888853591762 |
L(r)(E,1)/r! |
Ω |
0.16111078998375 |
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 |
15158b1 |
Quadratic twists by: -4 |