Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648b |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-47344176 = -1 · 24 · 38 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115,-542] |
[a1,a2,a3,a4,a6] |
j |
-10603964416/2959011 |
j-invariant |
L |
1.4360283214517 |
L(r)(E,1)/r! |
Ω |
0.71801416072586 |
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 |
10824k1 86592dm1 64944u1 |
Quadratic twists by: -4 8 -3 |