Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954o |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
611520 |
Modular degree for the optimal curve |
Δ |
-633511043616354176 = -1 · 27 · 75 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,54330,-37978396] |
[a1,a2,a3,a4,a6] |
j |
21741800639/776617856 |
j-invariant |
L |
5.8298139736315 |
L(r)(E,1)/r! |
Ω |
0.13880509460696 |
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 |
44954k1 |
Quadratic twists by: 13 |