Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ff |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1440417686400000 = -1 · 210 · 312 · 55 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18475,1543077] |
[a1,a2,a3,a4,a6] |
Generators |
[109:2200:1] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
5.5299846737249 |
L(r)(E,1)/r! |
Ω |
0.3314843826555 |
Real period |
R |
1.6682489317617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dq1 18480co1 |
Quadratic twists by: -4 8 |