Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525r |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
868415477516015625 = 36 · 58 · 78 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-399375,-86346000] |
[a1,a2,a3,a4,a6] |
Generators |
[-61230:472615:216] |
Generators of the group modulo torsion |
j |
3832302404449/472410225 |
j-invariant |
L |
5.5726776406334 |
L(r)(E,1)/r! |
Ω |
0.19144817103318 |
Real period |
R |
7.2770055859153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16905z2 12075s2 |
Quadratic twists by: 5 -7 |