Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650c |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-2521142668800 = -1 · 29 · 33 · 52 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7455,-262395] |
[a1,a2,a3,a4,a6] |
Generators |
[15393:355747:27] |
Generators of the group modulo torsion |
j |
-1833233006047585/100845706752 |
j-invariant |
L |
3.9206171931424 |
L(r)(E,1)/r! |
Ω |
0.25607317646049 |
Real period |
R |
7.6552672313983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650dp1 |
Quadratic twists by: 5 |