Atkin-Lehner |
5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64715c |
Isogeny class |
Conductor |
64715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
938432 |
Modular degree for the optimal curve |
Δ |
-615675949622632675 = -1 · 52 · 72 · 439 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -5 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,79507,-36752111] |
[a1,a2,a3,a4,a6] |
Generators |
[3698:79503:8] [8242:269951:8] |
Generators of the group modulo torsion |
j |
110592/1225 |
j-invariant |
L |
17.390889538169 |
L(r)(E,1)/r! |
Ω |
0.14234287863055 |
Real period |
R |
15.272005267739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64715d1 |
Quadratic twists by: -43 |