Atkin-Lehner |
5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64925d |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
155884925 = 52 · 76 · 53 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -1 -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-653,-6182] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:4:1] [-3234:719:216] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
11.464395341173 |
L(r)(E,1)/r! |
Ω |
0.94460008813239 |
Real period |
R |
12.136771407506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64925p1 1325a1 |
Quadratic twists by: 5 -7 |