Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240w |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-66404800 = -1 · 26 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,-392] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] |
Generators of the group modulo torsion |
j |
1728/3025 |
j-invariant |
L |
5.4846148191768 |
L(r)(E,1)/r! |
Ω |
0.90974370353944 |
Real period |
R |
1.5071868023544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240bg1 86240bu1 |
Quadratic twists by: -4 -7 |