Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2226j |
Isogeny class |
Conductor |
2226 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-2180981376 = -1 · 27 · 38 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-742,8036] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-406:1] |
Generators of the group modulo torsion |
j |
-45182682230113/2180981376 |
j-invariant |
L |
4.4736082016881 |
L(r)(E,1)/r! |
Ω |
1.4479196411308 |
Real period |
R |
0.027586427614877 |
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 |
17808o1 71232n1 6678f1 55650a1 |
Quadratic twists by: -4 8 -3 5 |