Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1568 |
Product of Tamagawa factors cp |
deg |
21073920 |
Modular degree for the optimal curve |
Δ |
1.5351917856227E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115944986,480156588668] |
[a1,a2,a3,a4,a6] |
Generators |
[6456:23452:1] |
Generators of the group modulo torsion |
j |
778419129671687951621/693260592493392 |
j-invariant |
L |
6.9196017138423 |
L(r)(E,1)/r! |
Ω |
0.10201242295428 |
Real period |
R |
0.17303819368404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998793524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050gl1 11550co1 |
Quadratic twists by: 5 -11 |