Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160m |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-11861763120 = -1 · 24 · 314 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,222,-5083] |
[a1,a2,a3,a4,a6] |
Generators |
[62:497:1] |
Generators of the group modulo torsion |
j |
103737344/1016955 |
j-invariant |
L |
4.9566348322784 |
L(r)(E,1)/r! |
Ω |
0.62741006952371 |
Real period |
R |
3.9500759336243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22320k1 89280cm1 3720b1 55800p1 |
Quadratic twists by: -4 8 -3 5 |