Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545f |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-49459811161005 = -1 · 310 · 5 · 72 · 434 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8640,135481] |
[a1,a2,a3,a4,a6] |
Generators |
[526:7675:8] |
Generators of the group modulo torsion |
j |
97838353751039/67846105845 |
j-invariant |
L |
5.0638282305718 |
L(r)(E,1)/r! |
Ω |
0.40096149932015 |
Real period |
R |
3.1573032817102 |
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 |
4515e4 67725r3 94815be3 |
Quadratic twists by: -3 5 -7 |