Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465i |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
554876600995079055 = 330 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-229005,-22186710] |
[a1,a2,a3,a4,a6] |
j |
1821931919215868881/761147600816295 |
j-invariant |
L |
1.8119109787923 |
L(r)(E,1)/r! |
Ω |
0.22648887234903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ct3 1155m4 17325s3 24255bs3 |
Quadratic twists by: -4 -3 5 -7 |