Atkin-Lehner |
3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075l |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
251121515625 = 35 · 56 · 19 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1913,21192] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:112:1] |
Generators of the group modulo torsion |
j |
49552182217/16071777 |
j-invariant |
L |
6.1143223005103 |
L(r)(E,1)/r! |
Ω |
0.9095425305853 |
Real period |
R |
1.3444829901396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363c1 |
Quadratic twists by: 5 |