Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680a |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3671654400 = 216 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3041,65505] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:320:1] |
Generators of the group modulo torsion |
j |
47471816164/56025 |
j-invariant |
L |
5.2812121143186 |
L(r)(E,1)/r! |
Ω |
1.3966395501027 |
Real period |
R |
1.8906854362334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680br1 9960f1 |
Quadratic twists by: -4 8 |