Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680u |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40422758400 = 211 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-1726] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:90:1] |
Generators of the group modulo torsion |
j |
48275138/27075 |
j-invariant |
L |
5.2180741272656 |
L(r)(E,1)/r! |
Ω |
0.94588385343902 |
Real period |
R |
0.68957648820914 |
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 |
6840i2 54720dv2 4560b2 68400bk2 |
Quadratic twists by: -4 8 -3 5 |