Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650s |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-1069378640000000 = -1 · 210 · 57 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1163355,483259147] |
[a1,a2,a3,a4,a6] |
j |
-11143974723502193721/68440232960 |
j-invariant |
L |
8.74927100935 |
L(r)(E,1)/r! |
Ω |
0.43746355045465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130c1 |
Quadratic twists by: 5 |