Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
657a |
Isogeny class |
Conductor |
657 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
3142410633 = 316 · 73 |
Discriminant |
Eigenvalues |
-1 3- 4 2 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-743,7494] |
[a1,a2,a3,a4,a6] |
j |
62146192681/4310577 |
j-invariant |
L |
1.3920168886714 |
L(r)(E,1)/r! |
Ω |
1.3920168886714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10512q1 42048o1 219c1 16425k1 |
Quadratic twists by: -4 8 -3 5 |