Atkin-Lehner |
2- 3+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856j |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
143976185856 = 214 · 35 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3792,89280] |
[a1,a2,a3,a4,a6] |
j |
1472594839633/35150436 |
j-invariant |
L |
2.0605257969036 |
L(r)(E,1)/r! |
Ω |
1.0302628973015 |
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 |
7482d1 |
Quadratic twists by: -4 |