Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52896f |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-31260266496 = -1 · 212 · 36 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-529,9889] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-76:1] |
Generators of the group modulo torsion |
j |
-4004529472/7631901 |
j-invariant |
L |
3.0923300011046 |
L(r)(E,1)/r! |
Ω |
1.0453296880945 |
Real period |
R |
0.73955854222819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52896c2 105792s1 |
Quadratic twists by: -4 8 |