Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169x |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
73207997613324189 = 311 · 711 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11+ -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-824817,288032449] |
[a1,a2,a3,a4,a6] |
j |
723570336280576/853577109 |
j-invariant |
L |
5.5067375719577 |
L(r)(E,1)/r! |
Ω |
0.34417111692415 |
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 |
30723t1 13167i1 |
Quadratic twists by: -3 -7 |