Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724c |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27270400726094592 = 28 · 3 · 1110 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182508,29000424] |
[a1,a2,a3,a4,a6] |
Generators |
[101:3404:1] |
Generators of the group modulo torsion |
j |
1482435250000/60130587 |
j-invariant |
L |
2.9719513760024 |
L(r)(E,1)/r! |
Ω |
0.37155019836744 |
Real period |
R |
3.999394145097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884a2 |
Quadratic twists by: -11 |