Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7050240000000 = 216 · 34 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181633,29855137] |
[a1,a2,a3,a4,a6] |
Generators |
[263:456:1] |
Generators of the group modulo torsion |
j |
647158135396/6885 |
j-invariant |
L |
4.8446364710701 |
L(r)(E,1)/r! |
Ω |
0.67571590313891 |
Real period |
R |
3.5848175605607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600dm4 20400bb4 16320cs4 |
Quadratic twists by: -4 8 5 |