Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700ci |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-2251657666293750000 = -1 · 24 · 36 · 58 · 113 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,304875,31843125] |
[a1,a2,a3,a4,a6] |
Generators |
[471:-16731:1] [-75:2925:1] |
Generators of the group modulo torsion |
j |
687830780160/494190983 |
j-invariant |
L |
11.530385117155 |
L(r)(E,1)/r! |
Ω |
0.16490209794925 |
Real period |
R |
0.12948631526326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300i1 128700w1 |
Quadratic twists by: -3 5 |