Atkin-Lehner |
3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52155c |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
958893718455 = 36 · 5 · 19 · 614 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5258,-137654] |
[a1,a2,a3,a4,a6] |
Generators |
[88:230:1] |
Generators of the group modulo torsion |
j |
22048573272921/1315354895 |
j-invariant |
L |
3.0567766334195 |
L(r)(E,1)/r! |
Ω |
0.56275280280869 |
Real period |
R |
0.67897854488264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5795c4 |
Quadratic twists by: -3 |