Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2706a |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
86592 = 26 · 3 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
1.8640034611953 |
L(r)(E,1)/r! |
Ω |
3.3657266340648 |
Real period |
R |
1.1076380608749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21648be1 86592bk1 8118r1 67650cj1 |
Quadratic twists by: -4 8 -3 5 |