Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bm |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24253655040000 = 214 · 38 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68412,-6883184] |
[a1,a2,a3,a4,a6] |
Generators |
[572:11880:1] |
Generators of the group modulo torsion |
j |
2964647793616/2030625 |
j-invariant |
L |
7.1683527061161 |
L(r)(E,1)/r! |
Ω |
0.29521222549196 |
Real period |
R |
3.0352539999472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720et2 6840r2 18240y2 |
Quadratic twists by: -4 8 -3 |