Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978x |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
43542576 = 24 · 33 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [-6:19:1] |
Generators of the group modulo torsion |
j |
1565539801/888624 |
j-invariant |
L |
8.2895632849961 |
L(r)(E,1)/r! |
Ω |
1.6805287075762 |
Real period |
R |
0.41105929181822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978a1 |
Quadratic twists by: -7 |