Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682m |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
49393287364608 = 216 · 39 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23843,-1370141] |
[a1,a2,a3,a4,a6] |
j |
76154932854603/2509438976 |
j-invariant |
L |
6.1596760889818 |
L(r)(E,1)/r! |
Ω |
0.38497975556136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456y1 11682b1 128502e1 |
Quadratic twists by: -4 -3 -11 |