Atkin-Lehner |
2+ 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450t |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
118337886562500 = 22 · 310 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12651,-162302] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:276:1] [-94:492:1] |
Generators of the group modulo torsion |
j |
14329429649569/7573624740 |
j-invariant |
L |
8.5544845570322 |
L(r)(E,1)/r! |
Ω |
0.47776164636477 |
Real period |
R |
0.44763349162085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490s1 |
Quadratic twists by: 5 |