Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165m |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16367616 |
Modular degree for the optimal curve |
Δ |
400599630918230625 = 312 · 54 · 73 · 172 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-570434072,-5243780321454] |
[a1,a2,a3,a4,a6] |
j |
28158697161123669994870062649/549519383975625 |
j-invariant |
L |
1.4828230063666 |
L(r)(E,1)/r! |
Ω |
0.030892153933841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055c1 |
Quadratic twists by: -3 |