Atkin-Lehner |
2+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362a |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
19035892553744 = 24 · 113 · 197 |
Discriminant |
Eigenvalues |
2+ -2 -2 4 11+ -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6867,-63010] |
[a1,a2,a3,a4,a6] |
j |
571787/304 |
j-invariant |
L |
1.1143124045571 |
L(r)(E,1)/r! |
Ω |
0.55715624178902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87362v1 4598l1 |
Quadratic twists by: -11 -19 |