Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478bt |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
273952040288256 = 218 · 36 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185261,30727829] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:2296:1] |
Generators of the group modulo torsion |
j |
7401701968633/2883584 |
j-invariant |
L |
11.752824566108 |
L(r)(E,1)/r! |
Ω |
0.54051591636755 |
Real period |
R |
1.8119763313318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7942f2 71478r2 |
Quadratic twists by: -3 -19 |