Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175o |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-10704450517578125 = -1 · 510 · 77 · 113 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- 11+ -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,54570,825322] |
[a1,a2,a3,a4,a6] |
j |
1382658525/823543 |
j-invariant |
L |
3.4656434422526 |
L(r)(E,1)/r! |
Ω |
0.2475459601609 |
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 |
21175x1 21175d1 |
Quadratic twists by: 5 -11 |