Atkin-Lehner |
2- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21824t |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-3547266325504 = -1 · 210 · 112 · 315 |
Discriminant |
Eigenvalues |
2- 2 3 -3 11+ 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195889,33436041] |
[a1,a2,a3,a4,a6] |
Generators |
[2010:1023:8] |
Generators of the group modulo torsion |
j |
-811813221498166528/3464127271 |
j-invariant |
L |
8.0716518755716 |
L(r)(E,1)/r! |
Ω |
0.6960668488916 |
Real period |
R |
1.159608719827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21824i1 5456e1 |
Quadratic twists by: -4 8 |