Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760br |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3.4886442672963E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1369263,-547330862] |
[a1,a2,a3,a4,a6] |
Generators |
[-822:4774:1] |
Generators of the group modulo torsion |
j |
1521306907332903376/186934385036025 |
j-invariant |
L |
7.3876411900599 |
L(r)(E,1)/r! |
Ω |
0.14068982192432 |
Real period |
R |
3.2818832829538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940132 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40920s2 |
Quadratic twists by: -3 |