Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864s |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
3505778496 = 26 · 39 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-729,7020] |
[a1,a2,a3,a4,a6] |
Generators |
[255:4050:1] |
Generators of the group modulo torsion |
j |
34012224/2783 |
j-invariant |
L |
9.7882312259115 |
L(r)(E,1)/r! |
Ω |
1.3738669208168 |
Real period |
R |
3.5622923434733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864b1 72864c1 |
Quadratic twists by: -4 -3 |