Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24128h |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1467402420224 = -1 · 227 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -1 3 -3 4 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2751,-18623] |
[a1,a2,a3,a4,a6] |
j |
8780064047/5597696 |
j-invariant |
L |
1.9511675051289 |
L(r)(E,1)/r! |
Ω |
0.48779187628223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24128t1 754d1 |
Quadratic twists by: -4 8 |