Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425y |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9796117515625 = -1 · 56 · 76 · 732 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4670,85922] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-635:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
2.040005025181 |
L(r)(E,1)/r! |
Ω |
0.47206670723391 |
Real period |
R |
1.0803584479976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3577a2 1825a2 |
Quadratic twists by: 5 -7 |