Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bg |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-8786920643078906250 = -1 · 2 · 313 · 58 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,458208,-78139134] |
[a1,a2,a3,a4,a6] |
Generators |
[8142:299679:8] |
Generators of the group modulo torsion |
j |
934036024855751/771416901450 |
j-invariant |
L |
4.1290349982296 |
L(r)(E,1)/r! |
Ω |
0.12823053612624 |
Real period |
R |
4.0250115012131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999846237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050cb1 22230bu1 |
Quadratic twists by: -3 5 |