Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150q |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
44711679392928000 = 28 · 34 · 53 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204380,33992400] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:6756:1] [85:4110:1] |
Generators of the group modulo torsion |
j |
12698260037/601344 |
j-invariant |
L |
7.372258387385 |
L(r)(E,1)/r! |
Ω |
0.35559712998345 |
Real period |
R |
2.5915065710104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999939078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126150dg1 4350bb1 |
Quadratic twists by: 5 29 |