Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350m |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28249205625000 = 23 · 38 · 57 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49167,4200741] |
[a1,a2,a3,a4,a6] |
j |
1153990560169/2480040 |
j-invariant |
L |
2.6637257503668 |
L(r)(E,1)/r! |
Ω |
0.66593143758957 |
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 |
12450z2 7470r2 |
Quadratic twists by: -3 5 |