Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bd |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2027621740693248 = 28 · 32 · 73 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33348,-883764] |
[a1,a2,a3,a4,a6] |
Generators |
[425:7844:1] |
Generators of the group modulo torsion |
j |
16021609721458000/7920397424583 |
j-invariant |
L |
3.6080137058693 |
L(r)(E,1)/r! |
Ω |
0.37165870634534 |
Real period |
R |
3.23595603912 |
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 |
3108i4 49728dx4 37296bw4 87024dz4 |
Quadratic twists by: -4 8 -3 -7 |