Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488b |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-127844352 = -1 · 214 · 33 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 2 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,753] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
-34000/27 |
j-invariant |
L |
6.0754630511872 |
L(r)(E,1)/r! |
Ω |
1.7009360026359 |
Real period |
R |
1.7859175894191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488dh1 6936l1 55488bw1 |
Quadratic twists by: -4 8 17 |