Atkin-Lehner |
5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19975b |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-62421875 = -1 · 57 · 17 · 47 |
Discriminant |
Eigenvalues |
2 -3 5+ 4 -4 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-175,-969] |
[a1,a2,a3,a4,a6] |
Generators |
[130:171:8] |
Generators of the group modulo torsion |
j |
-37933056/3995 |
j-invariant |
L |
6.664898440848 |
L(r)(E,1)/r! |
Ω |
0.65242752574885 |
Real period |
R |
2.5538845993653 |
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 |
3995e1 |
Quadratic twists by: 5 |