Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3154c |
Isogeny class |
Conductor |
3154 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-30682112 = -1 · 210 · 192 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 1 1 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1968,32785] |
[a1,a2,a3,a4,a6] |
Generators |
[23:7:1] |
Generators of the group modulo torsion |
j |
-842971295994625/30682112 |
j-invariant |
L |
4.2239426449153 |
L(r)(E,1)/r! |
Ω |
1.9540605567922 |
Real period |
R |
0.10808116028526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25232j1 100928e1 28386a1 78850a1 |
Quadratic twists by: -4 8 -3 5 |