Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550ce |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
13860000000 = 28 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1938,-32508] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:30:1] |
Generators of the group modulo torsion |
j |
51520374361/887040 |
j-invariant |
L |
7.9553659433941 |
L(r)(E,1)/r! |
Ω |
0.72030023655162 |
Real period |
R |
1.3805642320555 |
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 |
92400ej1 34650o1 2310d1 80850dx1 |
Quadratic twists by: -4 -3 5 -7 |