Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800d |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-7141500000000 = -1 · 28 · 33 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,-128250] |
[a1,a2,a3,a4,a6] |
Generators |
[445:9400:1] |
Generators of the group modulo torsion |
j |
574992/66125 |
j-invariant |
L |
5.4591677187212 |
L(r)(E,1)/r! |
Ω |
0.35322680915563 |
Real period |
R |
3.8637835339958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400d1 82800h1 16560h1 |
Quadratic twists by: -4 -3 5 |