Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18963f |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1468623806128269 = 39 · 79 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41096,-2613194] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:755:1] |
Generators of the group modulo torsion |
j |
9663597/1849 |
j-invariant |
L |
2.3810611197286 |
L(r)(E,1)/r! |
Ω |
0.33976715429865 |
Real period |
R |
3.5039601232845 |
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 |
18963c2 18963e2 |
Quadratic twists by: -3 -7 |