Atkin-Lehner |
2- 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52332h |
Isogeny class |
Conductor |
52332 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
30143232 = 28 · 33 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-316] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [-4:6:1] |
Generators of the group modulo torsion |
j |
8904784/2403 |
j-invariant |
L |
8.995995481365 |
L(r)(E,1)/r! |
Ω |
1.5389445370539 |
Real period |
R |
0.6495068726768 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52332b1 |
Quadratic twists by: -7 |