Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040000 |
Modular degree for the optimal curve |
Δ |
5.6170735151541E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-355295388,2577552284781] |
[a1,a2,a3,a4,a6] |
Generators |
[462400085:-984180401:42875] |
Generators of the group modulo torsion |
j |
1433528304665250149/162339408 |
j-invariant |
L |
10.632104655121 |
L(r)(E,1)/r! |
Ω |
0.12674640982546 |
Real period |
R |
10.485607245721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050ea1 11550n1 |
Quadratic twists by: 5 -11 |