Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bj |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
3.201375975824E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49118243,-132206699293] |
[a1,a2,a3,a4,a6] |
Generators |
[-4077:18418:1] |
Generators of the group modulo torsion |
j |
17977307437469475709672681/43914622439286374400 |
j-invariant |
L |
8.8760580976845 |
L(r)(E,1)/r! |
Ω |
0.057036465045108 |
Real period |
R |
3.8905190261276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530q2 |
Quadratic twists by: -3 |