Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920c |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
141172035840 = 28 · 35 · 5 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12716,-547404] |
[a1,a2,a3,a4,a6] |
Generators |
[3360682:72136064:6859] |
Generators of the group modulo torsion |
j |
888320035551184/551453265 |
j-invariant |
L |
5.1767797151848 |
L(r)(E,1)/r! |
Ω |
0.44959892202983 |
Real period |
R |
11.514217364699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840y1 122760cf1 |
Quadratic twists by: -4 -3 |