Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192q |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2301086380467561984 = 29 · 37 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425811,78174970] |
[a1,a2,a3,a4,a6] |
Generators |
[1145224899026:-9251032969710:2005142581] |
Generators of the group modulo torsion |
j |
22875829556351624/6165033383883 |
j-invariant |
L |
6.6874713283798 |
L(r)(E,1)/r! |
Ω |
0.24188172668048 |
Real period |
R |
13.823845686812 |
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 |
60192j3 120384bu4 20064i3 |
Quadratic twists by: -4 8 -3 |