Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320ce |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
185241600 = 212 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2425,46777] |
[a1,a2,a3,a4,a6] |
Generators |
[27:16:1] [-16:285:1] |
Generators of the group modulo torsion |
j |
385192720576/45225 |
j-invariant |
L |
8.9955578466467 |
L(r)(E,1)/r! |
Ω |
1.7278068896875 |
Real period |
R |
2.6031722353774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cm1 32160u1 |
Quadratic twists by: -4 8 |