Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bi |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-51094347042816 = -1 · 212 · 34 · 77 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12300,-632787] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1673:1] |
Generators of the group modulo torsion |
j |
-1749254553649/434294784 |
j-invariant |
L |
9.0822867532352 |
L(r)(E,1)/r! |
Ω |
0.22374422146687 |
Real period |
R |
0.42283618793881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854q1 |
Quadratic twists by: -7 |