Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bp |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7988217674765625000 = -1 · 23 · 32 · 510 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,318162,117264531] |
[a1,a2,a3,a4,a6] |
Generators |
[1115:42567:1] |
Generators of the group modulo torsion |
j |
227954686273806311/511245931185000 |
j-invariant |
L |
7.1501392488705 |
L(r)(E,1)/r! |
Ω |
0.16230498305803 |
Real period |
R |
3.6711438244002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490f4 |
Quadratic twists by: 5 |