Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2272b |
Isogeny class |
Conductor |
2272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
36352 = 29 · 71 |
Discriminant |
Eigenvalues |
2+ 3 -2 -1 -2 -7 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,-334] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:8:27] |
Generators of the group modulo torsion |
j |
162771336/71 |
j-invariant |
L |
4.2176135038981 |
L(r)(E,1)/r! |
Ω |
1.5457902936987 |
Real period |
R |
2.7284512789936 |
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 |
2272d1 4544d1 20448l1 56800p1 |
Quadratic twists by: -4 8 -3 5 |