Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966g |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12150632735064 = 23 · 37 · 194 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6093,74925] |
[a1,a2,a3,a4,a6] |
Generators |
[7:177:1] |
Generators of the group modulo torsion |
j |
34318619627473/16667534616 |
j-invariant |
L |
3.5883713832444 |
L(r)(E,1)/r! |
Ω |
0.63418393901144 |
Real period |
R |
1.414562543494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322k2 |
Quadratic twists by: -3 |