Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165k |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
130101775965 = 310 · 5 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4352,-108034] |
[a1,a2,a3,a4,a6] |
Generators |
[114:874:1] [-298:437:8] |
Generators of the group modulo torsion |
j |
12501706118329/178466085 |
j-invariant |
L |
7.9437212353784 |
L(r)(E,1)/r! |
Ω |
0.58831580977814 |
Real period |
R |
3.3756194820122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055g2 |
Quadratic twists by: -3 |