Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40936l |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
394295552 = 28 · 72 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335,-2158] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:14:1] [37:190:1] |
Generators of the group modulo torsion |
j |
16241202000/1540217 |
j-invariant |
L |
9.0529264156383 |
L(r)(E,1)/r! |
Ω |
1.1227236181865 |
Real period |
R |
2.0158403789219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81872a1 |
Quadratic twists by: -4 |