Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bz |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3282048960000000 = 212 · 3 · 57 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47408,2877312] |
[a1,a2,a3,a4,a6] |
Generators |
[186:678:1] |
Generators of the group modulo torsion |
j |
184122897769/51282015 |
j-invariant |
L |
3.9370720282467 |
L(r)(E,1)/r! |
Ω |
0.41680732173946 |
Real period |
R |
4.7228921168619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3225e3 10320bb4 |
Quadratic twists by: -4 5 |