Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419i |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1266323686012E+19 |
Discriminant |
Eigenvalues |
-1 3- 4 -2 6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-568373,33641844] |
[a1,a2,a3,a4,a6] |
Generators |
[-89420:-1028976:125] |
Generators of the group modulo torsion |
j |
234885113/130321 |
j-invariant |
L |
5.4401394390345 |
L(r)(E,1)/r! |
Ω |
0.19674491603448 |
Real period |
R |
6.9126810856702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5491c2 49419j2 |
Quadratic twists by: -3 17 |