Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120h |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12152857600000 = 213 · 55 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-533563,150012138] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:16536:1] |
Generators of the group modulo torsion |
j |
4101293798987882769/2967006250 |
j-invariant |
L |
4.3441384497114 |
L(r)(E,1)/r! |
Ω |
0.59171663061556 |
Real period |
R |
1.8353964655196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890j2 |
Quadratic twists by: -4 |