Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840by |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
29226700800 = 212 · 33 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2640,-50688] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:20:1] |
Generators of the group modulo torsion |
j |
496981290961/7135425 |
j-invariant |
L |
6.1141353672621 |
L(r)(E,1)/r! |
Ω |
0.66659559010269 |
Real period |
R |
2.2930452355856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115k1 |
Quadratic twists by: -4 |