Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725h |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
299337576890625 = 34 · 56 · 72 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16988,-189844] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:832:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
2.4891336932565 |
L(r)(E,1)/r! |
Ω |
0.44763183661172 |
Real period |
R |
1.3901679294695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975415 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3549c2 525b2 |
Quadratic twists by: 5 13 |