Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882be |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-4276938456 = -1 · 23 · 33 · 7 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-614,6797] |
[a1,a2,a3,a4,a6] |
Generators |
[126:167:8] |
Generators of the group modulo torsion |
j |
-946676900259/158405128 |
j-invariant |
L |
10.158683935095 |
L(r)(E,1)/r! |
Ω |
1.3325331191135 |
Real period |
R |
3.8117941297082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091485 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126882h2 |
Quadratic twists by: -3 |