Atkin-Lehner |
5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19975g |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6768 |
Modular degree for the optimal curve |
Δ |
-938825 = -1 · 52 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1883,30666] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:240:1] [19:37:1] |
Generators of the group modulo torsion |
j |
-29535823112665/37553 |
j-invariant |
L |
3.6985676599032 |
L(r)(E,1)/r! |
Ω |
2.3626637922052 |
Real period |
R |
0.78271137690146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19975i1 |
Quadratic twists by: 5 |