Atkin-Lehner |
3- 5- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755x |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1660970025 = 32 · 52 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-723,7153] |
[a1,a2,a3,a4,a6] |
Generators |
[49:275:1] |
Generators of the group modulo torsion |
j |
41713327443241/1660970025 |
j-invariant |
L |
9.2176788033629 |
L(r)(E,1)/r! |
Ω |
1.4839739266526 |
Real period |
R |
3.1057414951205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265h2 |
Quadratic twists by: -3 |