Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51336l |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113349888 = 28 · 33 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-519,4522] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:92:1] |
Generators of the group modulo torsion |
j |
2236773744/16399 |
j-invariant |
L |
7.9124812192746 |
L(r)(E,1)/r! |
Ω |
1.8821665515478 |
Real period |
R |
1.0509804794906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672c2 51336b2 |
Quadratic twists by: -4 -3 |