Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bn |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-25875469142578125 = -1 · 38 · 59 · 74 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20695,-7659178] |
[a1,a2,a3,a4,a6] |
Generators |
[315:-5639:1] |
Generators of the group modulo torsion |
j |
688465387/18173169 |
j-invariant |
L |
3.8802547685084 |
L(r)(E,1)/r! |
Ω |
0.18211155204696 |
Real period |
R |
1.3316888484346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15225ba2 45675bf2 |
Quadratic twists by: -3 5 |