Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dh |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
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 |
[13:12:1] |
Generators of the group modulo torsion |
j |
-34000/27 |
j-invariant |
L |
6.6974887274433 |
L(r)(E,1)/r! |
Ω |
0.70752174408716 |
Real period |
R |
1.5776873722535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488b1 13872a1 55488db1 |
Quadratic twists by: -4 8 17 |