Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320k |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-2.6912396720678E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193225,-251661623] |
[a1,a2,a3,a4,a6] |
Generators |
[29883:805040:27] |
Generators of the group modulo torsion |
j |
-194785201824227776/6570409355634375 |
j-invariant |
L |
6.6367195904745 |
L(r)(E,1)/r! |
Ω |
0.091946690385063 |
Real period |
R |
7.2180081331527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bh1 32160e1 |
Quadratic twists by: -4 8 |