Atkin-Lehner |
3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4539c |
Isogeny class |
Conductor |
4539 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
28369671417 = 36 · 173 · 892 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74586,-7871481] |
[a1,a2,a3,a4,a6] |
Generators |
[8742:812649:1] |
Generators of the group modulo torsion |
j |
45888594979016241577/28369671417 |
j-invariant |
L |
2.8710928275944 |
L(r)(E,1)/r! |
Ω |
0.28889131344193 |
Real period |
R |
3.3127716134111 |
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 |
72624z1 13617c1 113475k1 77163d1 |
Quadratic twists by: -4 -3 5 17 |