Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770z |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1368852864843750 = 2 · 3 · 58 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-656569,-204817858] |
[a1,a2,a3,a4,a6] |
Generators |
[936:469:1] |
Generators of the group modulo torsion |
j |
6484907238722641/283593750 |
j-invariant |
L |
5.4047365736029 |
L(r)(E,1)/r! |
Ω |
0.16771838818862 |
Real period |
R |
4.0281335815912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330b5 |
Quadratic twists by: 13 |