Atkin-Lehner |
3- 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471g |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2268288 |
Modular degree for the optimal curve |
Δ |
-5586653695592447667 = -1 · 39 · 711 · 23 · 792 |
Discriminant |
Eigenvalues |
2 3- 0 7+ -3 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,442905,7784847] |
[a1,a2,a3,a4,a6] |
j |
13180380050525696000/7663448142102123 |
j-invariant |
L |
1.1599409823153 |
L(r)(E,1)/r! |
Ω |
0.14499261515105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157g1 |
Quadratic twists by: -3 |