Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066w |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7738178448 = 24 · 3 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-850,8468] |
[a1,a2,a3,a4,a6] |
j |
38272753/4368 |
j-invariant |
L |
2.5483223829726 |
L(r)(E,1)/r! |
Ω |
1.2741611937433 |
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 |
546g1 |
Quadratic twists by: -11 |