Atkin-Lehner |
3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52155c |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24481296225 = 36 · 52 · 192 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-983,9406] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:101:1] |
Generators of the group modulo torsion |
j |
143960212521/33582025 |
j-invariant |
L |
3.0567766334195 |
L(r)(E,1)/r! |
Ω |
1.1255056056174 |
Real period |
R |
1.3579570897653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5795c2 |
Quadratic twists by: -3 |