Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
3633046732800 = 214 · 36 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5475,-126110] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:144:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
6.7483219392594 |
L(r)(E,1)/r! |
Ω |
0.56278730076982 |
Real period |
R |
2.9977230884766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350q1 9200bc1 82800fp1 |
Quadratic twists by: -4 -3 5 |