Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192q |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2339543859540484608 = -1 · 29 · 310 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360651,111198814] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:13338:1] |
Generators of the group modulo torsion |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
6.6874713283798 |
L(r)(E,1)/r! |
Ω |
0.24188172668048 |
Real period |
R |
3.4559614217031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60192j2 120384bu3 20064i4 |
Quadratic twists by: -4 8 -3 |