Atkin-Lehner |
5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145z |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-8006691875 = -1 · 54 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- -5 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,405,-2780] |
[a1,a2,a3,a4,a6] |
Generators |
[8:28:1] [13:63:1] |
Generators of the group modulo torsion |
j |
21415471433/23343125 |
j-invariant |
L |
5.2042914783093 |
L(r)(E,1)/r! |
Ω |
0.70958975017115 |
Real period |
R |
0.30559274314578 |
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 |
54145l1 |
Quadratic twists by: -7 |