Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
239260385306250000 = 24 · 32 · 58 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-211813,29205617] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:7805:1] |
Generators of the group modulo torsion |
j |
37966934881/8643600 |
j-invariant |
L |
15.172507983584 |
L(r)(E,1)/r! |
Ω |
0.29469120508048 |
Real period |
R |
1.6089413720725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410n2 1050g2 |
Quadratic twists by: 5 -11 |