Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cz |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-503639990208036864 = -1 · 219 · 37 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2116509708,37478181565424] |
[a1,a2,a3,a4,a6] |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
3.4986747359423 |
L(r)(E,1)/r! |
Ω |
0.12495266913051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fg2 1638h2 17472m2 |
Quadratic twists by: -4 8 -3 |