Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680df |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
-9.22911050735E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32216808,162226822732] |
[a1,a2,a3,a4,a6] |
Generators |
[-5092274:637607970:1331] |
Generators of the group modulo torsion |
j |
-143737544704/358722675 |
j-invariant |
L |
5.8897085714899 |
L(r)(E,1)/r! |
Ω |
0.064536899532058 |
Real period |
R |
11.407637700899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420e1 40560cr1 121680eq1 |
Quadratic twists by: -4 -3 13 |