Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
423c |
Isogeny class |
Conductor |
423 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
102789 = 37 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6768,-212625] |
[a1,a2,a3,a4,a6] |
Generators |
[13734:561393:8] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
2.0430649787699 |
L(r)(E,1)/r! |
Ω |
0.52635828034344 |
Real period |
R |
7.7630201901141 |
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 |
6768p4 27072bd4 141c4 10575h3 |
Quadratic twists by: -4 8 -3 5 |