Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cv |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
4964554384384 = 210 · 78 · 292 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -5 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5945,142129] |
[a1,a2,a3,a4,a6] |
Generators |
[0:377:1] |
Generators of the group modulo torsion |
j |
3937024/841 |
j-invariant |
L |
3.923144568573 |
L(r)(E,1)/r! |
Ω |
0.72600215063967 |
Real period |
R |
2.7018821883254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944h1 22736p1 90944dt1 |
Quadratic twists by: -4 8 -7 |