Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bg |
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 |
[1:20:1] [4:22:1] |
Generators of the group modulo torsion |
j |
1728/3025 |
j-invariant |
L |
10.456760168099 |
L(r)(E,1)/r! |
Ω |
1.5340662027575 |
Real period |
R |
1.7040920641724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240w1 86240by1 |
Quadratic twists by: -4 -7 |