Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bt |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15555882123264 = 218 · 3 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9409,-292511] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:215:1] [-37:60:1] |
Generators of the group modulo torsion |
j |
351447414193/59340981 |
j-invariant |
L |
7.1712196016146 |
L(r)(E,1)/r! |
Ω |
0.49031333343812 |
Real period |
R |
14.625789495326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bk3 13776o3 |
Quadratic twists by: -4 8 |