Atkin-Lehner |
2- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202w |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-2.0060609397193E+23 |
Discriminant |
Eigenvalues |
2- -1 1 7- -1 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19774440,40115346409] |
[a1,a2,a3,a4,a6] |
Generators |
[5413:300141:1] |
Generators of the group modulo torsion |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
10.009443871297 |
L(r)(E,1)/r! |
Ω |
0.095784810243679 |
Real period |
R |
0.12440390666078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
658a1 |
Quadratic twists by: 13 |