Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169d |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1594007830107 = -1 · 33 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- 11- 7 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1911,-51536] |
[a1,a2,a3,a4,a6] |
j |
242970624/501809 |
j-invariant |
L |
1.7591083850839 |
L(r)(E,1)/r! |
Ω |
0.43977718954048 |
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 |
92169b1 13167c1 |
Quadratic twists by: -3 -7 |