Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bn |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-303485616 = -1 · 24 · 38 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,-1137] |
[a1,a2,a3,a4,a6] |
Generators |
[17:18:1] |
Generators of the group modulo torsion |
j |
-14338681/8496 |
j-invariant |
L |
10.813937776334 |
L(r)(E,1)/r! |
Ω |
0.64677624081316 |
Real period |
R |
1.0449844449575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346c1 52038y1 |
Quadratic twists by: -3 -7 |