Atkin-Lehner |
3- 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67545n |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
311855265 = 37 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279,-1512] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:105:8] [2982:55965:8] |
Generators of the group modulo torsion |
j |
3301293169/427785 |
j-invariant |
L |
12.725156406402 |
L(r)(E,1)/r! |
Ω |
1.1779292874422 |
Real period |
R |
10.80298838146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515e1 |
Quadratic twists by: -3 |