Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
52332i |
Isogeny class |
Conductor |
52332 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
21974416128 = 28 · 39 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6708,209124] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-162:1] |
Generators of the group modulo torsion |
j |
2661531250000/1751787 |
j-invariant |
L |
7.2975308242522 |
L(r)(E,1)/r! |
Ω |
1.1950562779488 |
Real period |
R |
0.22616417686964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52332a1 |
Quadratic twists by: -7 |