Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100a |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
2540584782153622800 = 24 · 39 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1622565,791815365] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:29241:1] |
Generators of the group modulo torsion |
j |
60003797858807040/322687697779 |
j-invariant |
L |
5.1646841642761 |
L(r)(E,1)/r! |
Ω |
0.25831081855222 |
Real period |
R |
0.3702605251863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400dd2 17100b1 17100g2 |
Quadratic twists by: -4 -3 5 |