Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760bi |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
304541702553600 = 226 · 37 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31467,1977626] |
[a1,a2,a3,a4,a6] |
j |
1153990560169/101990400 |
j-invariant |
L |
4.2519768917985 |
L(r)(E,1)/r! |
Ω |
0.53149711157307 |
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 |
7470q1 19920h1 |
Quadratic twists by: -4 -3 |