Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
10824l |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
346368 = 28 · 3 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-452,3552] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:78:1] |
Generators of the group modulo torsion |
j |
39981540688/1353 |
j-invariant |
L |
6.2610153795646 |
L(r)(E,1)/r! |
Ω |
2.834159133897 |
Real period |
R |
2.2091262641825 |
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 |
21648c1 86592h1 32472f1 119064h1 |
Quadratic twists by: -4 8 -3 -11 |