Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12826i |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-264401936128 = -1 · 28 · 117 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,824,22795] |
[a1,a2,a3,a4,a6] |
j |
34965783/149248 |
j-invariant |
L |
1.4028590606937 |
L(r)(E,1)/r! |
Ω |
0.70142953034684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102608w1 115434q1 1166b1 |
Quadratic twists by: -4 -3 -11 |