Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bu |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-44477724672000 = -1 · 214 · 36 · 53 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2112,-318688] |
[a1,a2,a3,a4,a6] |
Generators |
[1553:61225:1] |
Generators of the group modulo torsion |
j |
87228416/3723875 |
j-invariant |
L |
4.6854457398696 |
L(r)(E,1)/r! |
Ω |
0.30714741769054 |
Real period |
R |
5.0849043589746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280ei2 5580f2 9920n2 |
Quadratic twists by: -4 8 -3 |