Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756k |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-434364562983892464 = -1 · 24 · 39 · 7 · 113 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7311681,-7609878747] |
[a1,a2,a3,a4,a6] |
j |
-137266368167151085824/1379250377813 |
j-invariant |
L |
4.9577970353905 |
L(r)(E,1)/r! |
Ω |
0.045905528146084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63756h1 |
Quadratic twists by: -3 |