Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038m |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
700105262071400136 = 23 · 37 · 714 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3352491,-2361469923] |
[a1,a2,a3,a4,a6] |
Generators |
[-8386620:6874563:8000] |
Generators of the group modulo torsion |
j |
48585970090762273/8162958216 |
j-invariant |
L |
4.6592830671014 |
L(r)(E,1)/r! |
Ω |
0.11157374791716 |
Real period |
R |
10.439917888426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346bf3 7434b3 |
Quadratic twists by: -3 -7 |