Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bk |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-38431681600 = -1 · 26 · 52 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,840,-842] |
[a1,a2,a3,a4,a6] |
Generators |
[53:442:1] |
Generators of the group modulo torsion |
j |
1022973718976/600495025 |
j-invariant |
L |
6.314526044037 |
L(r)(E,1)/r! |
Ω |
0.67734707166434 |
Real period |
R |
2.3306094909176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bj1 60320a2 |
Quadratic twists by: -4 8 |