Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
657b |
Isogeny class |
Conductor |
657 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-159651 = -1 · 37 · 73 |
Discriminant |
Eigenvalues |
2 3- 1 2 4 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57,-167] |
[a1,a2,a3,a4,a6] |
j |
-28094464/219 |
j-invariant |
L |
3.4734312592159 |
L(r)(E,1)/r! |
Ω |
0.86835781480396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10512o1 42048e1 219a1 16425l1 |
Quadratic twists by: -4 8 -3 5 |