Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978o |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-11484873785290752 = -1 · 212 · 32 · 78 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1189746,-499618556] |
[a1,a2,a3,a4,a6] |
Generators |
[5101:352649:1] |
Generators of the group modulo torsion |
j |
-32307371626161625/1992241152 |
j-invariant |
L |
5.7019966892758 |
L(r)(E,1)/r! |
Ω |
0.072277718057168 |
Real period |
R |
6.5741753273956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978k2 |
Quadratic twists by: -7 |