Atkin-Lehner |
2- 3- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65412a |
Isogeny class |
Conductor |
65412 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
170640 |
Modular degree for the optimal curve |
Δ |
-885697057008 = -1 · 24 · 36 · 233 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165441,-25900819] |
[a1,a2,a3,a4,a6] |
Generators |
[659597532141922:2731479896780287:1381725080072] |
Generators of the group modulo torsion |
j |
-42934423977349888/75934247 |
j-invariant |
L |
5.4493132869489 |
L(r)(E,1)/r! |
Ω |
0.11836102740751 |
Real period |
R |
23.019879965165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7268d1 |
Quadratic twists by: -3 |