Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dw |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
662935961600 = 220 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33505,-2371425] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:4:1] |
Generators of the group modulo torsion |
j |
15868125221689/2528900 |
j-invariant |
L |
5.3794379747303 |
L(r)(E,1)/r! |
Ω |
0.35287851907174 |
Real period |
R |
2.540741210716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880y1 16720s1 |
Quadratic twists by: -4 8 |