Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11571g |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-1507944291 = -1 · 3 · 7 · 195 · 29 |
Discriminant |
Eigenvalues |
0 3- -3 7- 5 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,223,-1288] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1045:1] |
Generators of the group modulo torsion |
j |
1220925980672/1507944291 |
j-invariant |
L |
3.801594952694 |
L(r)(E,1)/r! |
Ω |
0.80844662153718 |
Real period |
R |
4.7023450298619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34713i1 80997i1 |
Quadratic twists by: -3 -7 |