Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570d |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6200250368000000 = -1 · 218 · 56 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39711,-2249388] |
[a1,a2,a3,a4,a6] |
Generators |
[66:779:1] [1899:82250:1] |
Generators of the group modulo torsion |
j |
242492602537991/217088000000 |
j-invariant |
L |
7.9118781465411 |
L(r)(E,1)/r! |
Ω |
0.23293480233253 |
Real period |
R |
2.8305052414043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89570bc2 |
Quadratic twists by: 13 |