Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24288c |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2549657088 = -1 · 29 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 11+ -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,-2552] |
[a1,a2,a3,a4,a6] |
j |
-1352899016/4979799 |
j-invariant |
L |
0.59343662804305 |
L(r)(E,1)/r! |
Ω |
0.5934366280431 |
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 |
24288i1 48576du1 72864bd1 |
Quadratic twists by: -4 8 -3 |