Atkin-Lehner |
2+ 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974h |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-934209191411712 = -1 · 224 · 310 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2034,-1470636] |
[a1,a2,a3,a4,a6] |
Generators |
[14399042567:-340755529206:26730899] |
Generators of the group modulo torsion |
j |
1276229915423/1281494089728 |
j-invariant |
L |
4.1232977047376 |
L(r)(E,1)/r! |
Ω |
0.23141965716987 |
Real period |
R |
17.817404775218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658g1 |
Quadratic twists by: -3 |