Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bo |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
125339559408 = 24 · 38 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5144,142251] |
[a1,a2,a3,a4,a6] |
Generators |
[23:177:1] |
Generators of the group modulo torsion |
j |
60190200559/501264 |
j-invariant |
L |
11.054688840877 |
L(r)(E,1)/r! |
Ω |
1.0493515575322 |
Real period |
R |
0.65842381191854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346d2 52038bg2 |
Quadratic twists by: -3 -7 |