Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ih |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
19765032000 = 26 · 3 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6778,-216952] |
[a1,a2,a3,a4,a6] |
Generators |
[394:7644:1] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
7.9948007974708 |
L(r)(E,1)/r! |
Ω |
0.52617932929253 |
Real period |
R |
3.7985152238467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cb1 117600cd1 16800bq1 |
Quadratic twists by: -4 5 -7 |