Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600bn |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-18282240000000 = -1 · 214 · 33 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5008,248512] |
[a1,a2,a3,a4,a6] |
j |
-217081801/285660 |
j-invariant |
L |
2.4881544860635 |
L(r)(E,1)/r! |
Ω |
0.622038621516 |
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 |
3450y1 110400id1 82800ep1 5520bg1 |
Quadratic twists by: -4 8 -3 5 |