Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965k |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2320489377022389825 = 3 · 52 · 718 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-492500,110817860] |
[a1,a2,a3,a4,a6] |
Generators |
[563:3238:1] |
Generators of the group modulo torsion |
j |
112293400033564849/19723834261425 |
j-invariant |
L |
2.7872474489914 |
L(r)(E,1)/r! |
Ω |
0.24669591768198 |
Real period |
R |
5.6491560038389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895x3 69825bp3 1995e3 |
Quadratic twists by: -3 5 -7 |