Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bj |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5084567237033984 = 228 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43969,922209] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1800:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
7.2392426623805 |
L(r)(E,1)/r! |
Ω |
0.37636280716157 |
Real period |
R |
4.8086862758301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128w1 18032u1 10304bg1 |
Quadratic twists by: -4 8 -7 |