Atkin-Lehner |
2+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93632d |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
557017025675264 = 216 · 72 · 113 · 194 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11+ -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110209,-14073249] |
[a1,a2,a3,a4,a6] |
Generators |
[-1590:1113:8] |
Generators of the group modulo torsion |
j |
2258909892989572/8499405299 |
j-invariant |
L |
2.6405658053167 |
L(r)(E,1)/r! |
Ω |
0.26208564850211 |
Real period |
R |
5.0376009384329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632bf2 11704f2 |
Quadratic twists by: -4 8 |