Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21328b |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
999040 |
Modular degree for the optimal curve |
Δ |
8.2833132816751E+21 |
Discriminant |
Eigenvalues |
2+ 2 1 -2 -3 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5838920,3213948944] |
[a1,a2,a3,a4,a6] |
j |
10749577844685078038162/4044586563317939173 |
j-invariant |
L |
3.3472381550411 |
L(r)(E,1)/r! |
Ω |
0.1195442198229 |
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 |
10664a1 85312ba1 |
Quadratic twists by: -4 8 |