Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175n |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9951629638671875 = 516 · 72 · 113 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53963,471406] |
[a1,a2,a3,a4,a6] |
j |
835630707059/478515625 |
j-invariant |
L |
1.3959441970412 |
L(r)(E,1)/r! |
Ω |
0.34898604926029 |
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 |
4235a2 21175c2 |
Quadratic twists by: 5 -11 |