Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220j |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.7421209021677E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176401263,-901777867562] |
[a1,a2,a3,a4,a6] |
j |
3252829420447766192295376/9334924244296875 |
j-invariant |
L |
0.99422676255456 |
L(r)(E,1)/r! |
Ω |
0.041426115041602 |
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 |
19740t2 |
Quadratic twists by: -3 |