Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bf |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27664719989760 = 210 · 38 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2963667,1963777214] |
[a1,a2,a3,a4,a6] |
j |
32779037733124/315 |
j-invariant |
L |
1.8582862993215 |
L(r)(E,1)/r! |
Ω |
0.46457157483037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280cj4 5880t3 88200hb4 2520f3 |
Quadratic twists by: -4 -3 5 -7 |