Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9324i |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-29181613112064 = -1 · 28 · 38 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5784,197188] |
[a1,a2,a3,a4,a6] |
Generators |
[152:2142:1] |
Generators of the group modulo torsion |
j |
114667692032/156365811 |
j-invariant |
L |
5.3973925895687 |
L(r)(E,1)/r! |
Ω |
0.44742144473669 |
Real period |
R |
2.0105550196062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37296ca2 3108j2 65268t2 |
Quadratic twists by: -4 -3 -7 |