Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072ce |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26945519616 = 218 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433164,109730320] |
[a1,a2,a3,a4,a6] |
Generators |
[528055:758295:1331] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
6.0538206539851 |
L(r)(E,1)/r! |
Ω |
0.78585997100524 |
Real period |
R |
7.7034342978958 |
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 |
27072bd4 6768p4 9024bu3 |
Quadratic twists by: -4 8 -3 |