Atkin-Lehner |
2+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89590i |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
25446960 |
Modular degree for the optimal curve |
Δ |
-7.0293419729103E+25 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64636349,-450230875707] |
[a1,a2,a3,a4,a6] |
Generators |
[11777:643639:1] |
Generators of the group modulo torsion |
j |
-4281173184950608041/10076815360000000 |
j-invariant |
L |
3.0213757770543 |
L(r)(E,1)/r! |
Ω |
0.024857861039669 |
Real period |
R |
2.8939544811568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89590b1 |
Quadratic twists by: 17 |