Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825p |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
182908578603515625 = 32 · 510 · 78 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4073150,-3165683625] |
[a1,a2,a3,a4,a6] |
Generators |
[57885477530:681177364235:24137569] |
Generators of the group modulo torsion |
j |
4065433152958801/99500625 |
j-invariant |
L |
6.1356250482991 |
L(r)(E,1)/r! |
Ω |
0.10627168767895 |
Real period |
R |
14.43381860005 |
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 |
13965s2 9975o2 |
Quadratic twists by: 5 -7 |