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 |
Δ |
1.5897646245745E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-142407686,244638558668] |
[a1,a2,a3,a4,a6] |
Generators |
[-7998:937816:1] |
Generators of the group modulo torsion |
j |
1442307535559216746181/717904548395249292 |
j-invariant |
L |
6.9196017138423 |
L(r)(E,1)/r! |
Ω |
0.05100621147714 |
Real period |
R |
0.34607638736808 |
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 |
127050gl2 11550co2 |
Quadratic twists by: 5 -11 |