Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472ck |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4182875136 = -1 · 210 · 32 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,3119] |
[a1,a2,a3,a4,a6] |
Generators |
[50:363:1] |
Generators of the group modulo torsion |
j |
1257728/4084839 |
j-invariant |
L |
5.032949511138 |
L(r)(E,1)/r! |
Ω |
1.0889307501768 |
Real period |
R |
1.155479701187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472o1 16368r1 |
Quadratic twists by: -4 8 |