Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760t |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
41822438400000000 = 216 · 39 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360747,-82814886] |
[a1,a2,a3,a4,a6] |
j |
64399227251787/518750000 |
j-invariant |
L |
3.1183857275189 |
L(r)(E,1)/r! |
Ω |
0.19489910799745 |
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 |
7470k1 59760q1 |
Quadratic twists by: -4 -3 |