Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dq |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-647212032 = -1 · 210 · 37 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-997,-12517] |
[a1,a2,a3,a4,a6] |
Generators |
[47:216:1] |
Generators of the group modulo torsion |
j |
-370720768/2187 |
j-invariant |
L |
9.5525261100053 |
L(r)(E,1)/r! |
Ω |
0.4246257468551 |
Real period |
R |
1.6068815860305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488h1 13872v1 55488df1 |
Quadratic twists by: -4 8 17 |