Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038y |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-35704779236784 = -1 · 24 · 38 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8168,406235] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1255:1] |
Generators of the group modulo torsion |
j |
-14338681/8496 |
j-invariant |
L |
9.2067481013437 |
L(r)(E,1)/r! |
Ω |
0.60406160384137 |
Real period |
R |
0.31752928987993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346k1 52038bn1 |
Quadratic twists by: -3 -7 |