Atkin-Lehner |
5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855g |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-264275 = -1 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2 -1 5- 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10,31] |
[a1,a2,a3,a4,a6] |
Generators |
[10:31:8] |
Generators of the group modulo torsion |
j |
-126976/275 |
j-invariant |
L |
11.431576167783 |
L(r)(E,1)/r! |
Ω |
2.7559656387592 |
Real period |
R |
2.0739692844742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855i1 |
Quadratic twists by: -31 |