Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320ct |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
243712 |
Modular degree for the optimal curve |
Δ |
240073113600 = 216 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195425,33186975] |
[a1,a2,a3,a4,a6] |
Generators |
[223:864:1] |
Generators of the group modulo torsion |
j |
12594657614152036/3663225 |
j-invariant |
L |
8.7361456171432 |
L(r)(E,1)/r! |
Ω |
0.7935441693519 |
Real period |
R |
0.78635875015415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320j1 16080a1 |
Quadratic twists by: -4 8 |