Atkin-Lehner |
3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59985k |
Isogeny class |
Conductor |
59985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11899088546484375 = 312 · 58 · 31 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137543,-18884968] |
[a1,a2,a3,a4,a6] |
j |
394737786635037481/16322480859375 |
j-invariant |
L |
0.99416169397469 |
L(r)(E,1)/r! |
Ω |
0.24854042397926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995i2 |
Quadratic twists by: -3 |