Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bj |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1665404928 = 212 · 33 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297,-297] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
709732288/406593 |
j-invariant |
L |
10.98514878398 |
L(r)(E,1)/r! |
Ω |
1.2469962378596 |
Real period |
R |
1.4682146383563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144e1 39072k1 |
Quadratic twists by: -4 8 |