Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21417a |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3449229267 = 3 · 117 · 59 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1256466,541570341] |
[a1,a2,a3,a4,a6] |
j |
123828429385748737/1947 |
j-invariant |
L |
0.7213323838243 |
L(r)(E,1)/r! |
Ω |
0.72133238382432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64251z4 1947c3 |
Quadratic twists by: -3 -11 |