Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48800c |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3845841E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15504033,-23492662063] |
[a1,a2,a3,a4,a6] |
Generators |
[3117228753018799973:376525252980660037500:198859690257409] |
Generators of the group modulo torsion |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
8.0671516143343 |
L(r)(E,1)/r! |
Ω |
0.038041489242567 |
Real period |
R |
26.507741202244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48800k2 97600t1 9760g2 |
Quadratic twists by: -4 8 5 |