Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
82400n |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103040 |
Modular degree for the optimal curve |
Δ |
-103000000000 = -1 · 29 · 59 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- 2 5 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,42088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:250:1] |
Generators of the group modulo torsion |
j |
-1191016/103 |
j-invariant |
L |
5.0089796134018 |
L(r)(E,1)/r! |
Ω |
1.0386297507951 |
Real period |
R |
1.2056701656914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400p1 82400j1 |
Quadratic twists by: -4 5 |