Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cc |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-570654720 = -1 · 215 · 34 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,801] |
[a1,a2,a3,a4,a6] |
Generators |
[3:36:1] |
Generators of the group modulo torsion |
j |
13481272/17415 |
j-invariant |
L |
4.6017762926097 |
L(r)(E,1)/r! |
Ω |
1.1001992054693 |
Real period |
R |
1.045668881993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280cu1 20640k1 123840gh1 |
Quadratic twists by: -4 8 -3 |