Atkin-Lehner |
2- 3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112k |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-23213921808384 = -1 · 212 · 34 · 193 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -1 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,651,-231939] |
[a1,a2,a3,a4,a6] |
j |
7437713408/5667461379 |
j-invariant |
L |
3.784168603663 |
L(r)(E,1)/r! |
Ω |
0.31534738574256 |
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 |
5757d1 |
Quadratic twists by: -4 |