Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47300j |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1300750000 = -1 · 24 · 56 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,267,-538] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1023:1] |
Generators of the group modulo torsion |
j |
8388608/5203 |
j-invariant |
L |
8.0084756839392 |
L(r)(E,1)/r! |
Ω |
0.88157524532598 |
Real period |
R |
3.0280930740689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1892e1 |
Quadratic twists by: 5 |