Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154d |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-396878848155504 = -1 · 24 · 33 · 114 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26029,1868365] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1759:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
j-invariant |
L |
3.377666843432 |
L(r)(E,1)/r! |
Ω |
0.51094951061888 |
Real period |
R |
1.6526421756138 |
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 |
89232cm1 33462da1 122694cm1 858h1 |
Quadratic twists by: -4 -3 -11 13 |