Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bh |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
166323054182400 = 220 · 32 · 52 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8459841,9468084159] |
[a1,a2,a3,a4,a6] |
Generators |
[527:71808:1] |
Generators of the group modulo torsion |
j |
255429141422627949841/634472100 |
j-invariant |
L |
7.3839601889455 |
L(r)(E,1)/r! |
Ω |
0.37647370500477 |
Real period |
R |
4.9033704701251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440a3 21360i3 |
Quadratic twists by: -4 8 |