Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ia |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3676065970500000 = -1 · 25 · 311 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144988,21436592] |
[a1,a2,a3,a4,a6] |
Generators |
[332:-3316:1] |
Generators of the group modulo torsion |
j |
-178284948703873/1944365472 |
j-invariant |
L |
15.092565517176 |
L(r)(E,1)/r! |
Ω |
0.44495133485109 |
Real period |
R |
0.10278662668786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082b1 127050cx1 |
Quadratic twists by: 5 -11 |