Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16646400000000 = 214 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11633,445137] |
[a1,a2,a3,a4,a6] |
Generators |
[13:544:1] |
Generators of the group modulo torsion |
j |
680136784/65025 |
j-invariant |
L |
4.8446364710701 |
L(r)(E,1)/r! |
Ω |
0.67571590313891 |
Real period |
R |
1.7924087802803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600dm2 20400bb2 16320cs2 |
Quadratic twists by: -4 8 5 |