Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610bb |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
12502810181734400 = 212 · 52 · 116 · 413 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186645,30551137] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-3337:1] |
Generators of the group modulo torsion |
j |
405897921250921/7057510400 |
j-invariant |
L |
6.0610599208622 |
L(r)(E,1)/r! |
Ω |
0.40059568150565 |
Real period |
R |
0.42028105481993 |
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 |
410c3 |
Quadratic twists by: -11 |