Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488f |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1277587132416 = -1 · 212 · 32 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1231,-52191] |
[a1,a2,a3,a4,a6] |
Generators |
[29:84:1] [43:280:1] |
Generators of the group modulo torsion |
j |
50325149888/311910921 |
j-invariant |
L |
5.8589470768323 |
L(r)(E,1)/r! |
Ω |
0.43008168018913 |
Real period |
R |
3.4057176501083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19488g4 38976bu1 58464m2 |
Quadratic twists by: -4 8 -3 |