Atkin-Lehner |
3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52155c |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
28976222745 = 36 · 5 · 194 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14708,690166] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-28:1] |
Generators of the group modulo torsion |
j |
482646726320121/39747905 |
j-invariant |
L |
3.0567766334195 |
L(r)(E,1)/r! |
Ω |
1.1255056056174 |
Real period |
R |
2.7159141795305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5795c3 |
Quadratic twists by: -3 |