Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18392a |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64120901233664 = 210 · 113 · 196 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25384,-1516704] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:220:1] |
Generators of the group modulo torsion |
j |
1327220209868/47045881 |
j-invariant |
L |
1.6744915694995 |
L(r)(E,1)/r! |
Ω |
0.37905587476431 |
Real period |
R |
2.2087661489755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36784b2 18392c2 |
Quadratic twists by: -4 -11 |