Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bm |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-24120000 = -1 · 26 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255,1503] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
7.8811673362735 |
L(r)(E,1)/r! |
Ω |
2.1372260132348 |
Real period |
R |
0.46094606325711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64320m1 32160b1 |
Quadratic twists by: -4 8 |