Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600du |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.3328635324E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2287695675,-42115840505750] |
[a1,a2,a3,a4,a6] |
Generators |
[12340598243607844080217820815979:10475957847664931229106979783688594:17047963112396017986296749] |
Generators of the group modulo torsion |
j |
28379906689597370652529/1357352437500 |
j-invariant |
L |
8.5262327026119 |
L(r)(E,1)/r! |
Ω |
0.021829811879094 |
Real period |
R |
48.822183674629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cp4 37200ct4 22320bv4 |
Quadratic twists by: -4 -3 5 |