Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2455383546000 = 24 · 32 · 53 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3390,8100] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:190:1] [-16:250:1] |
Generators of the group modulo torsion |
j |
19465109/11088 |
j-invariant |
L |
8.37774190674 |
L(r)(E,1)/r! |
Ω |
0.69940190326649 |
Real period |
R |
1.4973046739931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050ix1 11550by1 |
Quadratic twists by: 5 -11 |