Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bc |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3638048256000000 = 215 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158763,24174938] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:6750:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
4.1041724157702 |
L(r)(E,1)/r! |
Ω |
0.44569220745611 |
Real period |
R |
1.1510669098288 |
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 |
1710o2 54720ez2 4560r2 68400ef2 |
Quadratic twists by: -4 8 -3 5 |