Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264g |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-269159545667584 = -1 · 215 · 113 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 2 3 1 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11056,646592] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:11024:27] |
Generators of the group modulo torsion |
j |
36485354668463/65712779704 |
j-invariant |
L |
13.674987109985 |
L(r)(E,1)/r! |
Ω |
0.37833432069785 |
Real period |
R |
1.5060519176219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15158c1 |
Quadratic twists by: -4 |