Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
82400a |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-8046875000000 = -1 · 26 · 513 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -2 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,742,-136012] |
[a1,a2,a3,a4,a6] |
Generators |
[557:13168:1] |
Generators of the group modulo torsion |
j |
45118016/8046875 |
j-invariant |
L |
8.8842836329155 |
L(r)(E,1)/r! |
Ω |
0.34819223267766 |
Real period |
R |
6.3788640260454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400f1 16480d1 |
Quadratic twists by: -4 5 |