Atkin-Lehner |
3+ 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325k |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1512197515125 = 34 · 53 · 114 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3433,48506] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-492:1] |
Generators of the group modulo torsion |
j |
35796701971493/12097580121 |
j-invariant |
L |
3.3717848056856 |
L(r)(E,1)/r! |
Ω |
0.78092842428519 |
Real period |
R |
1.0794154416238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83325t2 |
Quadratic twists by: 5 |