Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208q |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-172634410706075136 = -1 · 29 · 310 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31251,-20103190] |
[a1,a2,a3,a4,a6] |
Generators |
[17697163337194:-296693069488270:39338690201] |
Generators of the group modulo torsion |
j |
-9043113453704/462519318807 |
j-invariant |
L |
4.9629363632647 |
L(r)(E,1)/r! |
Ω |
0.14100245442305 |
Real period |
R |
17.598758771866 |
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 |
26208j2 52416gm3 8736s4 |
Quadratic twists by: -4 8 -3 |