Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bj |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
1920459886594704 = 24 · 36 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 1 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,602651] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:169:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
4.4026809874839 |
L(r)(E,1)/r! |
Ω |
0.40916761670172 |
Real period |
R |
2.6900228706791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728r1 5096a1 45864bw1 |
Quadratic twists by: -4 -3 -7 |