Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18963c |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2014573122261 = 33 · 79 · 432 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4566,98307] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:363:1] |
Generators of the group modulo torsion |
j |
9663597/1849 |
j-invariant |
L |
6.5070429195245 |
L(r)(E,1)/r! |
Ω |
0.78654443831174 |
Real period |
R |
4.1364750690319 |
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 |
18963f2 18963d2 |
Quadratic twists by: -3 -7 |