Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800p |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
429235200 = 210 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,8570] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:108:1] [11:34:1] |
Generators of the group modulo torsion |
j |
2977540/23 |
j-invariant |
L |
10.575529378439 |
L(r)(E,1)/r! |
Ω |
1.6843587516969 |
Real period |
R |
1.5696669976101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400bv1 9200i1 82800cb1 |
Quadratic twists by: -4 -3 5 |