Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782c |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3050724572360192 = -1 · 29 · 78 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20116,-2877038] |
[a1,a2,a3,a4,a6] |
Generators |
[200:953:1] |
Generators of the group modulo torsion |
j |
-156146853625/529198592 |
j-invariant |
L |
5.185142635952 |
L(r)(E,1)/r! |
Ω |
0.18429375270426 |
Real period |
R |
3.1261339633135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782p2 |
Quadratic twists by: -7 |