Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cf |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
-6226085250000000 = -1 · 27 · 35 · 59 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31825,4367125] |
[a1,a2,a3,a4,a6] |
j |
-124666421/217728 |
j-invariant |
L |
2.2750815835664 |
L(r)(E,1)/r! |
Ω |
0.37918051353584 |
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 |
127050ja1 127050gq1 |
Quadratic twists by: 5 -11 |