Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bd |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5395603039204147200 = -1 · 219 · 38 · 52 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-838401,316186785] |
[a1,a2,a3,a4,a6] |
Generators |
[359:7832:1] |
Generators of the group modulo torsion |
j |
-248622066042206401/20582592160050 |
j-invariant |
L |
4.6464514412282 |
L(r)(E,1)/r! |
Ω |
0.23637179096845 |
Real period |
R |
2.4571732018943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440r3 21360p3 |
Quadratic twists by: -4 8 |