Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9135d |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-828811258835805 = -1 · 314 · 5 · 72 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,-1384918] |
[a1,a2,a3,a4,a6] |
j |
-157551496201/1136915307045 |
j-invariant |
L |
0.91243183056933 |
L(r)(E,1)/r! |
Ω |
0.22810795764233 |
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 |
3045i4 45675t3 63945bc3 |
Quadratic twists by: -3 5 -7 |