Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8.3077416020891E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153148250,582893356500] |
[a1,a2,a3,a4,a6] |
Generators |
[-11555:905715:1] |
Generators of the group modulo torsion |
j |
14351050585434661561/3001282273281600 |
j-invariant |
L |
4.751012509323 |
L(r)(E,1)/r! |
Ω |
0.057464149635389 |
Real period |
R |
3.4449105383389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949229 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410cu6 11550bl6 |
Quadratic twists by: 5 -11 |