Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400cb |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1286400000000 = 214 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-31488] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:176:1] |
Generators of the group modulo torsion |
j |
47045881/20100 |
j-invariant |
L |
6.2474829053523 |
L(r)(E,1)/r! |
Ω |
0.66994633240636 |
Real period |
R |
2.3313370795536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050bh1 16080w1 |
Quadratic twists by: -4 5 |