Atkin-Lehner |
3+ 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525f |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-145825875 = -1 · 32 · 53 · 133 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 -5 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78,606] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:27:1] [4:-22:1] |
Generators of the group modulo torsion |
j |
-420189749/1166607 |
j-invariant |
L |
5.545368658733 |
L(r)(E,1)/r! |
Ω |
1.616361281975 |
Real period |
R |
0.28589775073623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57525k1 |
Quadratic twists by: 5 |