Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038f |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
493617297777851772 = 22 · 316 · 77 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197577,48033] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:5921:1] |
Generators of the group modulo torsion |
j |
9945310362625/5755387932 |
j-invariant |
L |
3.9846870654785 |
L(r)(E,1)/r! |
Ω |
0.24873431796505 |
Real period |
R |
2.0024815524552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346z2 7434a2 |
Quadratic twists by: -3 -7 |