Atkin-Lehner |
2+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8554d |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11425623313849472 = 27 · 72 · 132 · 476 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-130512,-17414626] |
[a1,a2,a3,a4,a6] |
Generators |
[498:6166:1] |
Generators of the group modulo torsion |
j |
245850028828595840377/11425623313849472 |
j-invariant |
L |
1.653543935891 |
L(r)(E,1)/r! |
Ω |
0.25190433043616 |
Real period |
R |
1.0940290526354 |
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 |
68432u2 76986z2 59878e2 111202y2 |
Quadratic twists by: -4 -3 -7 13 |