Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cg |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8029798400 = 216 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2561,-50561] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:13:1] |
Generators of the group modulo torsion |
j |
28355811844/122525 |
j-invariant |
L |
3.7251085039667 |
L(r)(E,1)/r! |
Ω |
0.67126798280506 |
Real period |
R |
2.7746806852879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997070796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640l2 30160f2 |
Quadratic twists by: -4 8 |