Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325bb |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
10714933125 = 39 · 54 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3- 5- -1 6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1983,32969] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:256:1] |
Generators of the group modulo torsion |
j |
1380482252800/17143893 |
j-invariant |
L |
7.0765095631602 |
L(r)(E,1)/r! |
Ω |
1.2861007703516 |
Real period |
R |
1.8340992987565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65325b1 |
Quadratic twists by: 5 |