Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465k |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-402018832018447875 = -1 · 322 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106853,33363456] |
[a1,a2,a3,a4,a6] |
j |
-185077034913624841/551466161890875 |
j-invariant |
L |
1.0543788555275 |
L(r)(E,1)/r! |
Ω |
0.26359471388188 |
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 |
55440cv3 1155f4 17325q4 24255bu3 |
Quadratic twists by: -4 -3 5 -7 |