Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bu |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-6054912000 = -1 · 213 · 34 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-3728] |
[a1,a2,a3,a4,a6] |
Generators |
[52:360:1] |
Generators of the group modulo torsion |
j |
-148877/11826 |
j-invariant |
L |
6.3380185094886 |
L(r)(E,1)/r! |
Ω |
0.59315930431036 |
Real period |
R |
0.6678242311182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950p1 87600cw1 |
Quadratic twists by: -4 5 |