Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cs |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
794880000000 = 214 · 33 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,74250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:400:1] |
Generators of the group modulo torsion |
j |
3176523/460 |
j-invariant |
L |
4.6976217365122 |
L(r)(E,1)/r! |
Ω |
0.85928223532843 |
Real period |
R |
0.6833641990031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350bb1 82800cl1 16560bd1 |
Quadratic twists by: -4 -3 5 |