Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9324g |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
1478136248965377792 = 28 · 38 · 73 · 376 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300135,-24161762] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:6142:1] |
Generators of the group modulo torsion |
j |
16021609721458000/7920397424583 |
j-invariant |
L |
4.4154127405849 |
L(r)(E,1)/r! |
Ω |
0.21457725415515 |
Real period |
R |
3.4295439483009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37296bw4 3108i4 65268m4 |
Quadratic twists by: -4 -3 -7 |