Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248o |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5431698996999487488 = 224 · 37 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443820,-19442896] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:4255:1] |
Generators of the group modulo torsion |
j |
50591419971625/28422890688 |
j-invariant |
L |
4.9799803148437 |
L(r)(E,1)/r! |
Ω |
0.19896594186574 |
Real period |
R |
4.1715517307013 |
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 |
13248bd4 414a4 4416a4 |
Quadratic twists by: -4 8 -3 |