Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bf |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-632832000000 = -1 · 217 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -1 4 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,-38288] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4000:1] |
Generators of the group modulo torsion |
j |
103823/9888 |
j-invariant |
L |
6.0526472138363 |
L(r)(E,1)/r! |
Ω |
0.43318502940703 |
Real period |
R |
1.7465536818039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999169468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450l1 4944j1 |
Quadratic twists by: -4 5 |