Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266r |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
36689010336202752 = 222 · 311 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2243687,-1292980705] |
[a1,a2,a3,a4,a6] |
j |
1713494904330643029289/50327860543488 |
j-invariant |
L |
2.7138288066084 |
L(r)(E,1)/r! |
Ω |
0.12335585484584 |
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 |
106128bp1 4422d1 |
Quadratic twists by: -4 -3 |