Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
82400j |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20608 |
Modular degree for the optimal curve |
Δ |
-6592000 = -1 · 29 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 5 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,372] |
[a1,a2,a3,a4,a6] |
Generators |
[12:30:1] |
Generators of the group modulo torsion |
j |
-1191016/103 |
j-invariant |
L |
9.3576572161607 |
L(r)(E,1)/r! |
Ω |
2.3224467262316 |
Real period |
R |
1.007305905777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400h1 82400n1 |
Quadratic twists by: -4 5 |