Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058r |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-266792706537320448 = -1 · 212 · 32 · 233 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,159352,4321289] |
[a1,a2,a3,a4,a6] |
j |
752329532375/448524288 |
j-invariant |
L |
4.5461238821983 |
L(r)(E,1)/r! |
Ω |
0.18942183645698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
138b3 |
Quadratic twists by: 29 |