Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050b |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3725568 |
Modular degree for the optimal curve |
Δ |
-7989413411475619200 = -1 · 27 · 32 · 52 · 76 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,498155,13616365] |
[a1,a2,a3,a4,a6] |
Generators |
[38878:2719759:8] |
Generators of the group modulo torsion |
j |
231921844285/135531648 |
j-invariant |
L |
3.8768611514319 |
L(r)(E,1)/r! |
Ω |
0.14130098522313 |
Real period |
R |
3.4296125419127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000264608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050jb1 127050fy1 |
Quadratic twists by: 5 -11 |