Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872l |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
3.3414778374043E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11- 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-850428,-117629415] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:5445:1] |
Generators of the group modulo torsion |
j |
2399721162016000/1178860704417 |
j-invariant |
L |
10.300301554043 |
L(r)(E,1)/r! |
Ω |
0.16527525438832 |
Real period |
R |
2.5967543134789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352p1 |
Quadratic twists by: -11 |