Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928x |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1406287872 = 214 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555,4698] |
[a1,a2,a3,a4,a6] |
Generators |
[7:34:1] |
Generators of the group modulo torsion |
j |
170953875/12716 |
j-invariant |
L |
4.625172251123 |
L(r)(E,1)/r! |
Ω |
1.4860333690752 |
Real period |
R |
0.77810706464845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366l1 107712db1 26928z1 |
Quadratic twists by: -4 8 -3 |