Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640be |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
494012856960000 = 210 · 38 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88347,-10050586] |
[a1,a2,a3,a4,a6] |
j |
868327204/5625 |
j-invariant |
L |
2.2162109040306 |
L(r)(E,1)/r! |
Ω |
0.27702636300382 |
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 |
35280cr4 5880u3 88200gv4 360a3 |
Quadratic twists by: -4 -3 5 -7 |