Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386cg |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
894586269606372 = 22 · 312 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24926,-466455] |
[a1,a2,a3,a4,a6] |
Generators |
[2573:128961:1] |
Generators of the group modulo torsion |
j |
19968681097/10430532 |
j-invariant |
L |
7.711875847698 |
L(r)(E,1)/r! |
Ω |
0.40251779150817 |
Real period |
R |
4.789773278455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462h1 9198k1 |
Quadratic twists by: -3 -7 |