Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648f |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-28813488 = -1 · 24 · 3 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,258] |
[a1,a2,a3,a4,a6] |
j |
2048/1800843 |
j-invariant |
L |
1.6641172332278 |
L(r)(E,1)/r! |
Ω |
1.6641172332278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824f1 86592cw1 64944q1 |
Quadratic twists by: -4 8 -3 |