Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650cd |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
713594550 = 2 · 3 · 52 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288,-1398] |
[a1,a2,a3,a4,a6] |
j |
105695235625/28543782 |
j-invariant |
L |
2.3646483348079 |
L(r)(E,1)/r! |
Ω |
1.1823241659112 |
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 |
58650q1 |
Quadratic twists by: 5 |