Atkin-Lehner |
3+ 11- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72369g |
Isogeny class |
Conductor |
72369 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10048 |
Modular degree for the optimal curve |
Δ |
2388177 = 33 · 112 · 17 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,34] |
[a1,a2,a3,a4,a6] |
j |
170953875/88451 |
j-invariant |
L |
2.2742193376451 |
L(r)(E,1)/r! |
Ω |
2.274219331124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72369b1 |
Quadratic twists by: -3 |