Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bq |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
672768000000 = 216 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,6912] |
[a1,a2,a3,a4,a6] |
Generators |
[2:50:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
4.8608623657787 |
L(r)(E,1)/r! |
Ω |
0.78201352946815 |
Real period |
R |
1.5539572484897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950bd1 3504t1 |
Quadratic twists by: -4 5 |