Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150be |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
139708800 |
Modular degree for the optimal curve |
Δ |
-5.7740735648065E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-161987551,3741058784498] |
[a1,a2,a3,a4,a6] |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
1.5217562746072 |
L(r)(E,1)/r! |
Ω |
0.036232266796385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046i1 4350q1 |
Quadratic twists by: 5 29 |