Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440j |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51264000000 = 212 · 32 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4105,102025] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:300:1] [25:120:1] |
Generators of the group modulo torsion |
j |
1868138370496/12515625 |
j-invariant |
L |
8.3226412244434 |
L(r)(E,1)/r! |
Ω |
1.1308730099508 |
Real period |
R |
0.61329028923517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440t2 42720a1 |
Quadratic twists by: -4 8 |