Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cr |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5409224773337088 = -1 · 221 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,3538384] |
[a1,a2,a3,a4,a6] |
Generators |
[80:2052:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
6.1697783719099 |
L(r)(E,1)/r! |
Ω |
0.33775066719993 |
Real period |
R |
2.2834071795083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bw2 30096bl2 40128ca2 |
Quadratic twists by: -4 8 -3 |