Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gm |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-1329056144237745000 = -1 · 23 · 311 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6222488,5972063681] |
[a1,a2,a3,a4,a6] |
j |
-24064663400038825/1200348072 |
j-invariant |
L |
4.6042897644259 |
L(r)(E,1)/r! |
Ω |
0.25579388770498 |
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 |
127050dm1 11550r1 |
Quadratic twists by: 5 -11 |