Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640be |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44461157126400 = 28 · 310 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8967,62426] |
[a1,a2,a3,a4,a6] |
j |
3631696/2025 |
j-invariant |
L |
2.2162109040306 |
L(r)(E,1)/r! |
Ω |
0.55405272600765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280cr2 5880u2 88200gv2 360a2 |
Quadratic twists by: -4 -3 5 -7 |