Atkin-Lehner |
2+ 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4386f |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
2607178752 = 210 · 34 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53033,-4705108] |
[a1,a2,a3,a4,a6] |
j |
16494931861146393481/2607178752 |
j-invariant |
L |
1.258415278122 |
L(r)(E,1)/r! |
Ω |
0.31460381953051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35088l1 13158s1 109650cf1 74562b1 |
Quadratic twists by: -4 -3 5 17 |