Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bz |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-25320211200 = -1 · 28 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,7724] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:90:1] |
Generators of the group modulo torsion |
j |
-4194304/135675 |
j-invariant |
L |
6.8330672699824 |
L(r)(E,1)/r! |
Ω |
0.99525220579912 |
Real period |
R |
0.85820800373188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12060b1 16080o1 |
Quadratic twists by: -4 -3 |