Atkin-Lehner |
5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925g |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-433930532897421875 = -1 · 57 · 711 · 532 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 5 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26133,-31726332] |
[a1,a2,a3,a4,a6] |
Generators |
[9732:63613:27] |
Generators of the group modulo torsion |
j |
-1073741824/236054315 |
j-invariant |
L |
4.702333462497 |
L(r)(E,1)/r! |
Ω |
0.13286817050206 |
Real period |
R |
2.211935637446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12985b1 9275b1 |
Quadratic twists by: 5 -7 |