Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
190b |
Isogeny class |
Conductor |
190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-950 = -1 · 2 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2,2] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
0.91620656379368 |
L(r)(E,1)/r! |
Ω |
3.4751792754521 |
Real period |
R |
0.13182148188233 |
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 |
1520h1 6080i1 1710q1 950d1 |
Quadratic twists by: -4 8 -3 5 |