Atkin-Lehner |
3+ 5+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945a |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
34655985 = 33 · 5 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,-4014] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
475099770627/1283555 |
j-invariant |
L |
3.6959584369481 |
L(r)(E,1)/r! |
Ω |
1.0160958278074 |
Real period |
R |
1.8187056317577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945c1 |
Quadratic twists by: -3 |