Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600a |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37480960000000 = -1 · 215 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,294000] |
[a1,a2,a3,a4,a6] |
Generators |
[30:600:1] |
Generators of the group modulo torsion |
j |
474552/73205 |
j-invariant |
L |
4.5812725190137 |
L(r)(E,1)/r! |
Ω |
0.50019130211142 |
Real period |
R |
1.1448800937949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600k4 8800u4 3520a4 |
Quadratic twists by: -4 8 5 |