Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328u |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
221524992 = 210 · 32 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213,891] |
[a1,a2,a3,a4,a6] |
Generators |
[15:36:1] |
Generators of the group modulo torsion |
j |
1048576000/216333 |
j-invariant |
L |
5.4376362221241 |
L(r)(E,1)/r! |
Ω |
1.6756047781895 |
Real period |
R |
1.6225891432738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999615794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ca1 6708b1 |
Quadratic twists by: -4 8 |