Atkin-Lehner |
3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
657d |
Isogeny class |
Conductor |
657 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3884841 = -1 · 36 · 732 |
Discriminant |
Eigenvalues |
-1 3- -2 2 2 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34,46] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
1.3989934744435 |
L(r)(E,1)/r! |
Ω |
1.6124147690915 |
Real period |
R |
0.86763871260727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10512w2 42048z2 73a1 16425f2 |
Quadratic twists by: -4 8 -3 5 |