Atkin-Lehner |
3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
657c |
Isogeny class |
Conductor |
657 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-1436859 = -1 · 39 · 73 |
Discriminant |
Eigenvalues |
0 3- 3 -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,24,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
1.9853109737942 |
L(r)(E,1)/r! |
Ω |
1.4732708731893 |
Real period |
R |
0.67377663195649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10512x1 42048bc1 219b1 16425e1 |
Quadratic twists by: -4 8 -3 5 |