Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525h |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25744236328125 = 38 · 59 · 72 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33483375,-74588728500] |
[a1,a2,a3,a4,a6] |
Generators |
[173091627432:-18289218618207:12487168] |
Generators of the group modulo torsion |
j |
265699897443244773235441/1647631125 |
j-invariant |
L |
4.6315557954259 |
L(r)(E,1)/r! |
Ω |
0.062761345603393 |
Real period |
R |
18.449077815723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575bd4 4305i3 |
Quadratic twists by: -3 5 |