Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
66c |
Isogeny class |
Conductor |
66 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
20 |
Modular degree for the optimal curve |
Δ |
2737152 = 210 · 35 · 11 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45,81] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2737152 |
j-invariant |
L |
1.1916148156125 |
L(r)(E,1)/r! |
Ω |
2.383229631225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
528f1 2112d1 198e1 1650b1 |
Quadratic twists by: -4 8 -3 5 |