Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150ch |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1127520 |
Modular degree for the optimal curve |
Δ |
21610645039915200 = 26 · 33 · 52 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185458,29838911] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:1927:1] |
Generators of the group modulo torsion |
j |
56407465/1728 |
j-invariant |
L |
8.164645906255 |
L(r)(E,1)/r! |
Ω |
0.38041462068552 |
Real period |
R |
1.1923606817008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150bs1 126150y1 |
Quadratic twists by: 5 29 |