Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144i |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-2891328 = -1 · 26 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,34] |
[a1,a2,a3,a4,a6] |
Generators |
[591:14356:1] [10:69:8] |
Generators of the group modulo torsion |
j |
54872000/45177 |
j-invariant |
L |
9.4589411510817 |
L(r)(E,1)/r! |
Ω |
1.6429183169653 |
Real period |
R |
11.514803935748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bo1 39072f2 |
Quadratic twists by: -4 8 |