Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ba |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
56689952000 = 28 · 53 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3428,77552] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1452:1] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
8.0921196568723 |
L(r)(E,1)/r! |
Ω |
1.1192448672355 |
Real period |
R |
1.8074953689214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200q2 48400bc2 400d2 |
Quadratic twists by: -4 5 -11 |