Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110bc |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
333043200 |
Modular degree for the optimal curve |
Δ |
8.6080580120303E+26 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50164743862,-4324621351448064] |
[a1,a2,a3,a4,a6] |
j |
7880674655180529862975333650241/485902433618164062500 |
j-invariant |
L |
3.8132174168455 |
L(r)(E,1)/r! |
Ω |
0.010087879977812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010v1 |
Quadratic twists by: -11 |