Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440eu |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13645230243840000 = -1 · 220 · 36 · 54 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38412,-6323184] |
[a1,a2,a3,a4,a6] |
j |
-32798729601/71402500 |
j-invariant |
L |
1.2775834305791 |
L(r)(E,1)/r! |
Ω |
0.15969792882488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440by3 9360bl4 4160j4 |
Quadratic twists by: -4 8 -3 |