Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952t |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1493016634368 = 210 · 36 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,62426] |
[a1,a2,a3,a4,a6] |
Generators |
[67:342:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
8.1711297294203 |
L(r)(E,1)/r! |
Ω |
0.79255996609575 |
Real period |
R |
2.5774484062443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976j1 13328e1 2448f1 |
Quadratic twists by: -4 -3 -7 |