Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240x |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-453017600 = -1 · 215 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840,9712] |
[a1,a2,a3,a4,a6] |
Generators |
[4:80:1] |
Generators of the group modulo torsion |
j |
-16022066761/110600 |
j-invariant |
L |
5.6936799101127 |
L(r)(E,1)/r! |
Ω |
1.6771078651917 |
Real period |
R |
0.42436745038065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530d1 |
Quadratic twists by: -4 |