Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bc |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117098701259765625 = 34 · 510 · 236 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-132526,8577323] |
[a1,a2,a3,a4,a6] |
Generators |
[-399728:18780941:4096] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
9.0214388233273 |
L(r)(E,1)/r! |
Ω |
0.29770070945082 |
Real period |
R |
7.5759298995035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119025be3 7935b4 75b3 |
Quadratic twists by: -3 5 -23 |