Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ce |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4538695680 = 216 · 36 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72972,-7587216] |
[a1,a2,a3,a4,a6] |
j |
899466517764/95 |
j-invariant |
L |
2.3238092822482 |
L(r)(E,1)/r! |
Ω |
0.29047616023662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720eg4 6840d3 6080c4 |
Quadratic twists by: -4 8 -3 |