Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1518p |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
94431744 = 29 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ -7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127,281] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:29:1] |
Generators of the group modulo torsion |
j |
226646274673/94431744 |
j-invariant |
L |
3.8533242589487 |
L(r)(E,1)/r! |
Ω |
1.720102320623 |
Real period |
R |
0.37336192279085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12144z1 48576t1 4554p1 37950f1 |
Quadratic twists by: -4 8 -3 5 |