Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880p |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0858806173604E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31947788,-1538717712] |
[a1,a2,a3,a4,a6] |
Generators |
[7748:464816:1] |
Generators of the group modulo torsion |
j |
13756443594716753103321/7957003087464992000 |
j-invariant |
L |
4.6278233751154 |
L(r)(E,1)/r! |
Ω |
0.069551500945939 |
Real period |
R |
4.158630036774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bz3 2090f3 |
Quadratic twists by: -4 8 |