Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992i |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
15585450428432384 = 215 · 193 · 375 |
Discriminant |
Eigenvalues |
2+ 0 1 4 -3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75692,-5307408] |
[a1,a2,a3,a4,a6] |
j |
1463604443236872/475630201063 |
j-invariant |
L |
2.9527428777432 |
L(r)(E,1)/r! |
Ω |
0.29527428776422 |
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 |
44992s1 22496j1 |
Quadratic twists by: -4 8 |