Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350x |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
457328363904000 = 210 · 316 · 53 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20397852,-35453760944] |
[a1,a2,a3,a4,a6] |
j |
10300053769617070951829/5018692608 |
j-invariant |
L |
0.28416032177533 |
L(r)(E,1)/r! |
Ω |
0.071040080451673 |
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 |
12450s2 37350bu2 |
Quadratic twists by: -3 5 |