Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23829k |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
680580069 = 3 · 136 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127092,17428465] |
[a1,a2,a3,a4,a6] |
Generators |
[8791822:13364837:39304] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
5.7977128278915 |
L(r)(E,1)/r! |
Ω |
1.0677734366673 |
Real period |
R |
10.85944382731 |
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 |
71487j4 141c4 |
Quadratic twists by: -3 13 |