Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288h |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
258999987866171904 = 29 · 310 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 3 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296120,56886156] |
[a1,a2,a3,a4,a6] |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
3.027798165927 |
L(r)(E,1)/r! |
Ω |
0.3027798165927 |
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 |
24288f1 48576co1 72864bh1 |
Quadratic twists by: -4 8 -3 |