Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128u |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
1.003250805953E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1374464,390898161] |
[a1,a2,a3,a4,a6] |
j |
17947507904136033140992/6270317537206298121 |
j-invariant |
L |
3.8209810257736 |
L(r)(E,1)/r! |
Ω |
0.1736809557172 |
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 |
74256z1 111384bh1 |
Quadratic twists by: -4 -3 |