Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26288k |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
284928 |
Modular degree for the optimal curve |
Δ |
-11572025595999488 = -1 · 28 · 318 · 53 |
Discriminant |
Eigenvalues |
2- -3 -2 2 6 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24929,-4948934] |
[a1,a2,a3,a4,a6] |
j |
6692653173782448/45203224984373 |
j-invariant |
L |
1.606259013413 |
L(r)(E,1)/r! |
Ω |
0.20078237667666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572d1 105152s1 |
Quadratic twists by: -4 8 |