Atkin-Lehner |
2- 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bk |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6269618038068 = 22 · 310 · 72 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5675,-110649] |
[a1,a2,a3,a4,a6] |
j |
27721838859625/8600299092 |
j-invariant |
L |
4.5073077123028 |
L(r)(E,1)/r! |
Ω |
0.56341346400911 |
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 |
17094g2 |
Quadratic twists by: -3 |