Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200a |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-812000000 = -1 · 28 · 56 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 6 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-1037] |
[a1,a2,a3,a4,a6] |
Generators |
[786:4625:27] |
Generators of the group modulo torsion |
j |
128000/203 |
j-invariant |
L |
7.0604800230638 |
L(r)(E,1)/r! |
Ω |
0.83850723589147 |
Real period |
R |
4.2101485369845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40600r1 3248d1 |
Quadratic twists by: -4 5 |