Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704ci |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1353024 = -1 · 26 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 0 5 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[120:116:27] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
5.0714088138658 |
L(r)(E,1)/r! |
Ω |
1.2156738021792 |
Real period |
R |
4.1716855333846 |
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 |
16704cj1 8352h1 1856h1 |
Quadratic twists by: -4 8 -3 |