Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208bt |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-33476735545344 = -1 · 212 · 312 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3576,290288] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:468:1] |
Generators of the group modulo torsion |
j |
-1693669888/11211291 |
j-invariant |
L |
6.7266415540215 |
L(r)(E,1)/r! |
Ω |
0.56438640059451 |
Real period |
R |
0.99320866385983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26208bn1 52416gd1 8736e1 |
Quadratic twists by: -4 8 -3 |