Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624c |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-9538928 = -1 · 24 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 0 1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,305] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] [4:-7:1] |
Generators of the group modulo torsion |
j |
-340736/49 |
j-invariant |
L |
8.3924212696051 |
L(r)(E,1)/r! |
Ω |
2.2252209015996 |
Real period |
R |
0.47143753590779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59248l1 29624i1 |
Quadratic twists by: -4 -23 |