Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464b |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
13392 = 24 · 33 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30,63] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
6912000/31 |
j-invariant |
L |
3.6777200878957 |
L(r)(E,1)/r! |
Ω |
3.9982070946326 |
Real period |
R |
1.8396846390638 |
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 |
2232a1 17856bk1 4464a1 111600d1 |
Quadratic twists by: -4 8 -3 5 |