Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bq |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
5.8389453983819E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14317507,17304382241] |
[a1,a2,a3,a4,a6] |
Generators |
[-3893:120526:1] |
Generators of the group modulo torsion |
j |
2758910971633951339297/496302169876660224 |
j-invariant |
L |
9.1348097068144 |
L(r)(E,1)/r! |
Ω |
0.1059271932699 |
Real period |
R |
2.6948963200939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998953 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778q2 |
Quadratic twists by: -7 |