Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200cc |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
13383700000000 = 28 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ 6 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6333,79463] |
[a1,a2,a3,a4,a6] |
Generators |
[-9445:45466:125] |
Generators of the group modulo torsion |
j |
280944640/133837 |
j-invariant |
L |
9.2262129422485 |
L(r)(E,1)/r! |
Ω |
0.63072104778696 |
Real period |
R |
7.3140201515001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25300p1 101200bh1 |
Quadratic twists by: -4 5 |