Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038j |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-5181645966336 = -1 · 210 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11034,462132] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:878:1] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
5.1306440010699 |
L(r)(E,1)/r! |
Ω |
0.76124254390285 |
Real period |
R |
3.3699141240645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782h1 1062d1 |
Quadratic twists by: -3 -7 |