Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747u |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-7761846202803 = -1 · 312 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11- -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1686,-136665] |
[a1,a2,a3,a4,a6] |
Generators |
[562:2417:8] [101:-851:1] |
Generators of the group modulo torsion |
j |
-727057727488/10647251307 |
j-invariant |
L |
7.6242263845517 |
L(r)(E,1)/r! |
Ω |
0.3170632883293 |
Real period |
R |
1.2023193263286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249n1 |
Quadratic twists by: -3 |