Atkin-Lehner |
2+ 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272a |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
835536 = 24 · 3 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107,-390] |
[a1,a2,a3,a4,a6] |
Generators |
[30:150:1] [202:2860:1] |
Generators of the group modulo torsion |
j |
8546879488/52221 |
j-invariant |
L |
8.9292254690353 |
L(r)(E,1)/r! |
Ω |
1.4838012439525 |
Real period |
R |
12.035608549907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32136f1 |
Quadratic twists by: -4 |