Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464l |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-243435274185456 = -1 · 24 · 312 · 315 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 4 -2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8421,-689231] |
[a1,a2,a3,a4,a6] |
Generators |
[416:8649:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
2.6672994695017 |
L(r)(E,1)/r! |
Ω |
0.2824050711261 |
Real period |
R |
0.94449418307742 |
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 |
2232e1 17856ch1 1488f1 111600bv1 |
Quadratic twists by: -4 8 -3 5 |