Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050en |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
5132160 |
Modular degree for the optimal curve |
Δ |
-3.970355193882E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1556299,600650048] |
[a1,a2,a3,a4,a6] |
Generators |
[426:36406:1] |
Generators of the group modulo torsion |
j |
4978536695/4741632 |
j-invariant |
L |
6.6647305703623 |
L(r)(E,1)/r! |
Ω |
0.11063619596669 |
Real period |
R |
6.6933394835604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002084 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127050fj1 127050is1 |
Quadratic twists by: 5 -11 |