Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3.5757218222397E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-775693250,-7802165248500] |
[a1,a2,a3,a4,a6] |
Generators |
[-17435:658755:1] |
Generators of the group modulo torsion |
j |
1864737106103260904761/129177711985836360 |
j-invariant |
L |
4.751012509323 |
L(r)(E,1)/r! |
Ω |
0.028732074817694 |
Real period |
R |
6.8898210766777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999979692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cu8 11550bl7 |
Quadratic twists by: 5 -11 |