Atkin-Lehner |
5- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20995d |
Isogeny class |
Conductor |
20995 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-492647675 = -1 · 52 · 132 · 17 · 193 |
Discriminant |
Eigenvalues |
0 -1 5- -2 -4 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-195,1563] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:47:1] [13:32:1] |
Generators of the group modulo torsion |
j |
-824238309376/492647675 |
j-invariant |
L |
5.3167022168269 |
L(r)(E,1)/r! |
Ω |
1.5345178993658 |
Real period |
R |
0.28872815250449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104975e1 |
Quadratic twists by: 5 |