Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cp |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
18010885410000 = 24 · 37 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6762,64141] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:441:1] |
Generators of the group modulo torsion |
j |
24918016/13125 |
j-invariant |
L |
5.3675786072358 |
L(r)(E,1)/r! |
Ω |
0.60571975877597 |
Real period |
R |
1.1076860481823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280cf1 5880k1 88200bt1 2520o1 |
Quadratic twists by: -4 -3 5 -7 |