Atkin-Lehner |
3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15987a |
Isogeny class |
Conductor |
15987 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94608 |
Modular degree for the optimal curve |
Δ |
-7258140827046729 = -1 · 32 · 738 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 2 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8104,4105165] |
[a1,a2,a3,a4,a6] |
Generators |
[1708:69691:1] |
Generators of the group modulo torsion |
j |
-73/9 |
j-invariant |
L |
4.771060614389 |
L(r)(E,1)/r! |
Ω |
0.3432794951025 |
Real period |
R |
6.9492362381918 |
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 |
47961f1 15987b1 |
Quadratic twists by: -3 73 |