Atkin-Lehner |
3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975u |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-101091796875 = -1 · 36 · 59 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 -2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1125,-21094] |
[a1,a2,a3,a4,a6] |
Generators |
[75:562:1] |
Generators of the group modulo torsion |
j |
-110592/71 |
j-invariant |
L |
1.6851263001905 |
L(r)(E,1)/r! |
Ω |
0.40058606329283 |
Real period |
R |
1.051663084793 |
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 |
1775b1 15975t1 |
Quadratic twists by: -3 5 |