Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71200b |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2225000000 = 26 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-658,6312] |
[a1,a2,a3,a4,a6] |
Generators |
[3:66:1] |
Generators of the group modulo torsion |
j |
31554496/2225 |
j-invariant |
L |
9.0297631865708 |
L(r)(E,1)/r! |
Ω |
1.4320995381126 |
Real period |
R |
3.1526311357293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71200k1 14240k1 |
Quadratic twists by: -4 5 |