Atkin-Lehner |
3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125373f |
Isogeny class |
Conductor |
125373 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
1128357 = 33 · 232 · 79 |
Discriminant |
Eigenvalues |
-2 3- -2 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-84,-322] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] |
Generators of the group modulo torsion |
j |
125390848/2133 |
j-invariant |
L |
3.2556638619899 |
L(r)(E,1)/r! |
Ω |
1.5770586756848 |
Real period |
R |
0.68812994224336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999255136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125373j1 |
Quadratic twists by: -23 |