Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cl |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-416492280000000000 = -1 · 212 · 39 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,186667,-647037] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1863:1] |
Generators of the group modulo torsion |
j |
17983078400/10412307 |
j-invariant |
L |
6.6581580029696 |
L(r)(E,1)/r! |
Ω |
0.17785417978364 |
Real period |
R |
2.0797805667633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1725c1 110400fq1 82800ec1 27600cd1 |
Quadratic twists by: -4 8 -3 5 |