Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824a |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
112223232 = 210 · 35 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36528,-2674980] |
[a1,a2,a3,a4,a6] |
Generators |
[481128061073848:-2484051647321503:2061961252352] |
Generators of the group modulo torsion |
j |
5263969051106500/109593 |
j-invariant |
L |
4.272130060355 |
L(r)(E,1)/r! |
Ω |
0.34533618814168 |
Real period |
R |
24.741861450108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21648j1 86592bj1 32472q1 119064r1 |
Quadratic twists by: -4 8 -3 -11 |