Atkin-Lehner |
3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3381i |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2560192322829267 = -1 · 3 · 78 · 236 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 6 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5717,2430628] |
[a1,a2,a3,a4,a6] |
j |
3584000000/444107667 |
j-invariant |
L |
2.10569492615 |
L(r)(E,1)/r! |
Ω |
0.35094915435834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096be2 10143j2 84525f2 3381a2 |
Quadratic twists by: -4 -3 5 -7 |