Atkin-Lehner |
2+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782v |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-90230665252 = -1 · 22 · 79 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -5 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-14860] |
[a1,a2,a3,a4,a6] |
Generators |
[55:340:1] |
Generators of the group modulo torsion |
j |
-47045881/766948 |
j-invariant |
L |
8.6252084994189 |
L(r)(E,1)/r! |
Ω |
0.46072120076693 |
Real period |
R |
2.3401377245978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826d1 |
Quadratic twists by: -7 |