Atkin-Lehner |
5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825c |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-401174041748046875 = -1 · 515 · 72 · 11 · 293 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11+ 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-247633,-56294207] |
[a1,a2,a3,a4,a6] |
Generators |
[1507:54687:1] [737:12687:1] |
Generators of the group modulo torsion |
j |
-107480826403618816/25675138671875 |
j-invariant |
L |
6.4857361413502 |
L(r)(E,1)/r! |
Ω |
0.10567312416007 |
Real period |
R |
2.5573106505331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165d1 |
Quadratic twists by: 5 |