Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650b |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
460851562500 = 22 · 3 · 59 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2250,24000] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:190:1] |
Generators of the group modulo torsion |
j |
80677568161/29494500 |
j-invariant |
L |
3.930860015235 |
L(r)(E,1)/r! |
Ω |
0.85719182463962 |
Real period |
R |
1.1464353433783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bh1 |
Quadratic twists by: 5 |