Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cy |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2808000 = -1 · 26 · 33 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,-842] |
[a1,a2,a3,a4,a6] |
j |
-303464448/1625 |
j-invariant |
L |
1.3256631081518 |
L(r)(E,1)/r! |
Ω |
0.66283155407149 |
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 |
37440c1 9360bg1 37440di2 |
Quadratic twists by: -4 8 -3 |