Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350f |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.8643695650608E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100232667,115935958741] |
[a1,a2,a3,a4,a6] |
j |
9776964066308570159209/5148417725156250000 |
j-invariant |
L |
1.9763913969949 |
L(r)(E,1)/r! |
Ω |
0.054899761027733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12450n2 7470p2 |
Quadratic twists by: -3 5 |