Atkin-Lehner |
2- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59536a |
Isogeny class |
Conductor |
59536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
59536 = 24 · 612 |
Discriminant |
Eigenvalues |
2- 0 3 3 -4 -5 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61,183] |
[a1,a2,a3,a4,a6] |
j |
421632 |
j-invariant |
L |
3.5214615136785 |
L(r)(E,1)/r! |
Ω |
3.5214615151665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14884b1 59536b1 |
Quadratic twists by: -4 61 |