Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400p |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
58482000 = 24 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103,-202] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:15:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
5.8586194134466 |
L(r)(E,1)/r! |
Ω |
1.5702756228801 |
Real period |
R |
0.46636871642802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800q1 91200ce1 34200cu1 11400bc1 |
Quadratic twists by: -4 8 -3 5 |