Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45408h |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-90816 = -1 · 26 · 3 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ 2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,12] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] |
Generators of the group modulo torsion |
j |
1560896/1419 |
j-invariant |
L |
7.8857075543514 |
L(r)(E,1)/r! |
Ω |
2.214912438687 |
Real period |
R |
1.7801397961853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45408d1 90816u1 |
Quadratic twists by: -4 8 |