Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856ba |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-9474296896 = -1 · 26 · 236 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,529,0] |
[a1,a2,a3,a4,a6] |
Generators |
[77616:637140:1331] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.5030808319683 |
L(r)(E,1)/r! |
Ω |
0.77320258991111 |
Real period |
R |
9.0612237405233 |
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 |
33856ba1 16928e4 64a4 |
Quadratic twists by: -4 8 -23 |