Atkin-Lehner |
3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13545k |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
301339874267578125 = 38 · 516 · 7 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-203274,-23333045] |
[a1,a2,a3,a4,a6] |
j |
1274215504790678689/413360595703125 |
j-invariant |
L |
3.69029455745 |
L(r)(E,1)/r! |
Ω |
0.23064340984063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515a4 67725w3 94815t3 |
Quadratic twists by: -3 5 -7 |