Atkin-Lehner |
7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47089b |
Isogeny class |
Conductor |
47089 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2571264 |
Modular degree for the optimal curve |
Δ |
1.0669341219002E+21 |
Discriminant |
Eigenvalues |
1 0 -2 7- 6 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9944608,11970365931] |
[a1,a2,a3,a4,a6] |
Generators |
[179540027550:15710652534891:20570824] |
Generators of the group modulo torsion |
j |
34965783/343 |
j-invariant |
L |
5.2688346332187 |
L(r)(E,1)/r! |
Ω |
0.15603197202092 |
Real period |
R |
16.883830169546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6727a1 47089c1 |
Quadratic twists by: -7 -31 |