Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640br |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162637977600 = 211 · 33 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6027,179046] |
[a1,a2,a3,a4,a6] |
j |
3721734/25 |
j-invariant |
L |
2.0542767187113 |
L(r)(E,1)/r! |
Ω |
1.0271383593557 |
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 |
35280r2 17640d2 88200h2 360b2 |
Quadratic twists by: -4 -3 5 -7 |