Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360h |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6988960000 = 28 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-487,-966] |
[a1,a2,a3,a4,a6] |
Generators |
[43:240:1] |
Generators of the group modulo torsion |
j |
49896562896/27300625 |
j-invariant |
L |
4.5114520368617 |
L(r)(E,1)/r! |
Ω |
1.0855943352084 |
Real period |
R |
2.0778719502049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16720m2 66880c2 75240bb2 41800t2 |
Quadratic twists by: -4 8 -3 5 |