Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825p |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1647691448903E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4226275,-2915018000] |
[a1,a2,a3,a4,a6] |
Generators |
[-102880:374972:125] |
Generators of the group modulo torsion |
j |
4541390686576801/633623960025 |
j-invariant |
L |
6.1356250482991 |
L(r)(E,1)/r! |
Ω |
0.10627168767895 |
Real period |
R |
7.2169093000249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986678 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13965s4 9975o3 |
Quadratic twists by: 5 -7 |