Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cb |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
7745916626448 = 24 · 3 · 72 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-689037,219859443] |
[a1,a2,a3,a4,a6] |
Generators |
[61155:18864:125] |
Generators of the group modulo torsion |
j |
20421858870283753/4372368 |
j-invariant |
L |
10.348047649061 |
L(r)(E,1)/r! |
Ω |
0.58718276799915 |
Real period |
R |
4.4058035306078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006d1 |
Quadratic twists by: -11 |