Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2178i |
Isogeny class |
Conductor |
2178 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1568336880910795776 = -1 · 210 · 310 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,194908,50284743] |
[a1,a2,a3,a4,a6] |
j |
43307231/82944 |
j-invariant |
L |
3.6866195121412 |
L(r)(E,1)/r! |
Ω |
0.18433097560706 |
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 |
17424br1 69696bz1 726b1 54450cp1 |
Quadratic twists by: -4 8 -3 5 |