Atkin-Lehner |
5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24805c |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1815850025 = 52 · 116 · 41 |
Discriminant |
Eigenvalues |
1 0 5- 4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2624,-51045] |
[a1,a2,a3,a4,a6] |
Generators |
[4828518:71292941:19683] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
7.606253677692 |
L(r)(E,1)/r! |
Ω |
0.667074790722 |
Real period |
R |
11.402400125868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124025e1 205a1 |
Quadratic twists by: 5 -11 |