Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256l |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
928337200164543312 = 24 · 36 · 118 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439230,-102003847] |
[a1,a2,a3,a4,a6] |
Generators |
[-19552540705448:122084296454099:64048012001] |
Generators of the group modulo torsion |
j |
3748096000/371293 |
j-invariant |
L |
8.3402128458721 |
L(r)(E,1)/r! |
Ω |
0.18663235823381 |
Real period |
R |
22.343962549687 |
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 |
12584k1 113256br1 |
Quadratic twists by: -3 -11 |