Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800c |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-285660000000 = -1 · 28 · 33 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2175,46750] |
[a1,a2,a3,a4,a6] |
Generators |
[14:138:1] |
Generators of the group modulo torsion |
j |
-10536048/2645 |
j-invariant |
L |
6.1898516198001 |
L(r)(E,1)/r! |
Ω |
0.92819400450898 |
Real period |
R |
1.6671761478141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400be1 82800g1 16560g1 |
Quadratic twists by: -4 -3 5 |