Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490i |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-7469084390400000 = -1 · 213 · 314 · 55 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78795,-9454779] |
[a1,a2,a3,a4,a6] |
Generators |
[25518:1422471:8] |
Generators of the group modulo torsion |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
2.3770315560834 |
L(r)(E,1)/r! |
Ω |
0.14139233747655 |
Real period |
R |
8.4058004786771 |
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 |
43920bw1 1830l1 27450bx1 |
Quadratic twists by: -4 -3 5 |