Atkin-Lehner |
3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52155b |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-4224555 = -1 · 36 · 5 · 19 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 4 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:2169:125] |
Generators of the group modulo torsion |
j |
-16777216/5795 |
j-invariant |
L |
5.2252245179151 |
L(r)(E,1)/r! |
Ω |
0.8913687430687 |
Real period |
R |
5.8620234987886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5795b1 |
Quadratic twists by: -3 |