Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600be |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-211968000000 = -1 · 216 · 32 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1192,-15888] |
[a1,a2,a3,a4,a6] |
j |
2924207/3312 |
j-invariant |
L |
2.154248833985 |
L(r)(E,1)/r! |
Ω |
0.5385622084962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450i1 110400hm1 82800dq1 1104h1 |
Quadratic twists by: -4 8 -3 5 |