Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080m |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
655972776501638400 = 28 · 36 · 52 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1206687,508709266] |
[a1,a2,a3,a4,a6] |
j |
1041214291261679824/3514943289725 |
j-invariant |
L |
3.4660547196846 |
L(r)(E,1)/r! |
Ω |
0.28883789372291 |
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 |
8120f2 |
Quadratic twists by: -3 |