Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782q |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-451125896137763392 = -1 · 26 · 79 · 133 · 433 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-393250,-100432716] |
[a1,a2,a3,a4,a6] |
Generators |
[993:21627:1] |
Generators of the group modulo torsion |
j |
-57166735358265625/3834506847808 |
j-invariant |
L |
6.2937239933358 |
L(r)(E,1)/r! |
Ω |
0.094956390666428 |
Real period |
R |
2.761672994115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826f2 |
Quadratic twists by: -7 |