Atkin-Lehner |
3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575g |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-1661191875 = -1 · 33 · 54 · 74 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 1 -6 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,145,-1878] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-135:1] [94:243:8] |
Generators of the group modulo torsion |
j |
20108925/98441 |
j-invariant |
L |
6.539854384211 |
L(r)(E,1)/r! |
Ω |
0.75367590196044 |
Real period |
R |
0.72310639617297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575h1 64575e1 |
Quadratic twists by: -3 5 |