Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bh |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.4221718983283E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7997985,-33155887325] |
[a1,a2,a3,a4,a6] |
j |
-659704930833045889/5156082432978750 |
j-invariant |
L |
1.267141486509 |
L(r)(E,1)/r! |
Ω |
0.039598171409595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cd4 8190u4 |
Quadratic twists by: -3 -7 |