Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cn |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
567675000000 = 26 · 33 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -3 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5513,151031] |
[a1,a2,a3,a4,a6] |
Generators |
[35:32:1] |
Generators of the group modulo torsion |
j |
56407465/1728 |
j-invariant |
L |
9.914850141657 |
L(r)(E,1)/r! |
Ω |
0.91615972682802 |
Real period |
R |
0.60123250296848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150y1 126150bs1 |
Quadratic twists by: 5 29 |