Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682p |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-11354904 = -1 · 23 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11+ -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,-7887] |
[a1,a2,a3,a4,a6] |
Generators |
[77:582:1] |
Generators of the group modulo torsion |
j |
-66775173193/15576 |
j-invariant |
L |
8.0952959568846 |
L(r)(E,1)/r! |
Ω |
0.45452932896024 |
Real period |
R |
2.9683804913106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456by1 3894c1 128502q1 |
Quadratic twists by: -4 -3 -11 |