Atkin-Lehner |
3- 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16815c |
Isogeny class |
Conductor |
16815 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-273159675 = -1 · 33 · 52 · 193 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,109,701] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
141909917696/273159675 |
j-invariant |
L |
4.4971034628879 |
L(r)(E,1)/r! |
Ω |
1.1994194871528 |
Real period |
R |
1.8747000157398 |
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 |
50445f1 84075c1 |
Quadratic twists by: -3 5 |