Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24072d |
Isogeny class |
Conductor |
24072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-709594416 = -1 · 24 · 32 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81,1224] |
[a1,a2,a3,a4,a6] |
Generators |
[17:85:1] |
Generators of the group modulo torsion |
j |
3628156928/44349651 |
j-invariant |
L |
3.4746810079487 |
L(r)(E,1)/r! |
Ω |
1.1869688483158 |
Real period |
R |
2.9273565290943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48144e1 72216b1 |
Quadratic twists by: -4 -3 |