Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332k |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
163296 |
Modular degree for the optimal curve |
Δ |
-1884100734208 = -1 · 28 · 76 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,65640] |
[a1,a2,a3,a4,a6] |
Generators |
[30:330:1] |
Generators of the group modulo torsion |
j |
686000/62557 |
j-invariant |
L |
10.172291270701 |
L(r)(E,1)/r! |
Ω |
0.6379375510276 |
Real period |
R |
1.771732334566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068d1 |
Quadratic twists by: -7 |