Atkin-Lehner |
2- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202y |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
7451136 |
Modular degree for the optimal curve |
Δ |
1.6415158336663E+21 |
Discriminant |
Eigenvalues |
2- -2 2 7- -2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3777407,2045472025] |
[a1,a2,a3,a4,a6] |
Generators |
[274:31973:1] |
Generators of the group modulo torsion |
j |
1234937412568202617/340083030769664 |
j-invariant |
L |
7.388075521658 |
L(r)(E,1)/r! |
Ω |
0.13973138152292 |
Real period |
R |
3.7766725725532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554d1 |
Quadratic twists by: 13 |