Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1360i |
Isogeny class |
Conductor |
1360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-51516538880 = -1 · 221 · 5 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,360,10480] |
[a1,a2,a3,a4,a6] |
Generators |
[12:128:1] |
Generators of the group modulo torsion |
j |
1256216039/12577280 |
j-invariant |
L |
2.3500943905393 |
L(r)(E,1)/r! |
Ω |
0.82621441538997 |
Real period |
R |
0.71110305834777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
170d2 5440q2 12240bt2 6800s2 |
Quadratic twists by: -4 8 -3 5 |