Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bz |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-572638500000 = -1 · 25 · 32 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2037,-7719] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-310:1] |
Generators of the group modulo torsion |
j |
59822347031/36648864 |
j-invariant |
L |
8.8685608839811 |
L(r)(E,1)/r! |
Ω |
0.53250893393642 |
Real period |
R |
0.83271475077306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2226f1 |
Quadratic twists by: 5 |