Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475w |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
474427359172265625 = 36 · 58 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-416525,97845000] |
[a1,a2,a3,a4,a6] |
Generators |
[497820:2109215:1728] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
6.5280280402043 |
L(r)(E,1)/r! |
Ω |
0.29077518768947 |
Real period |
R |
5.6126075375069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999419 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495k2 8925q2 |
Quadratic twists by: 5 -7 |