Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3404021760000 = 217 · 37 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87852,-10022096] |
[a1,a2,a3,a4,a6] |
j |
784767874322/35625 |
j-invariant |
L |
2.2184661762283 |
L(r)(E,1)/r! |
Ω |
0.27730827185972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ei4 6840m3 18240bh4 |
Quadratic twists by: -4 8 -3 |