Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bn |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.1509665713908E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5434412,-5142091216] |
[a1,a2,a3,a4,a6] |
Generators |
[2998:74240:1] [3085:86333:1] |
Generators of the group modulo torsion |
j |
-67708231728434700129/4390589032710400 |
j-invariant |
L |
11.33766016769 |
L(r)(E,1)/r! |
Ω |
0.049255764007768 |
Real period |
R |
7.1931049585115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cy2 3770d2 |
Quadratic twists by: -4 8 |