Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41624k |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
108363588608 = 210 · 113 · 433 |
Discriminant |
Eigenvalues |
2- -2 4 4 11+ -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291496,-60672768] |
[a1,a2,a3,a4,a6] |
Generators |
[-4478073984:-12401200:14348907] |
Generators of the group modulo torsion |
j |
2009763657953996/79507 |
j-invariant |
L |
5.9653015899276 |
L(r)(E,1)/r! |
Ω |
0.2054666223477 |
Real period |
R |
9.677649053604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83248d1 41624d1 |
Quadratic twists by: -4 -11 |