Atkin-Lehner |
2- 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38940j |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10280160000 = 28 · 32 · 54 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2740,55912] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:330:1] |
Generators of the group modulo torsion |
j |
8889839645776/40156875 |
j-invariant |
L |
4.9793487828371 |
L(r)(E,1)/r! |
Ω |
1.292534729684 |
Real period |
R |
0.32103255902798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820g2 |
Quadratic twists by: -3 |