Atkin-Lehner |
5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175y |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
8738326953125 = 58 · 75 · 113 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ 11+ -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-996875,-383097344] |
[a1,a2,a3,a4,a6] |
j |
210720960000000/16807 |
j-invariant |
L |
0.30218254618528 |
L(r)(E,1)/r! |
Ω |
0.15109127309264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21175p1 21175bh1 |
Quadratic twists by: 5 -11 |