Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202m |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-3.3525411210881E+20 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- -1 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29468815,-61572191251] |
[a1,a2,a3,a4,a6] |
Generators |
[624879270:21779203861:91125] |
Generators of the group modulo torsion |
j |
-586342836493501890321/69456676679936 |
j-invariant |
L |
9.0313023621644 |
L(r)(E,1)/r! |
Ω |
0.032398567157268 |
Real period |
R |
6.9689057223917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554m1 |
Quadratic twists by: 13 |