Atkin-Lehner |
2- 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170u |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1010134277343750000 = 24 · 3 · 516 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35314890,-80779404108] |
[a1,a2,a3,a4,a6] |
Generators |
[65474:16649138:1] |
Generators of the group modulo torsion |
j |
4870766230827801203993427361/1010134277343750000 |
j-invariant |
L |
11.479208208415 |
L(r)(E,1)/r! |
Ω |
0.061931285622617 |
Real period |
R |
5.7923108313765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120510f6 |
Quadratic twists by: -3 |