Atkin-Lehner |
3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34983a |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8493638696383347 = 39 · 138 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52760,1460944] |
[a1,a2,a3,a4,a6] |
Generators |
[257:2068:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
2.8615807269341 |
L(r)(E,1)/r! |
Ω |
0.36313691908994 |
Real period |
R |
1.9700425490368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34983b2 2691a2 |
Quadratic twists by: -3 13 |