Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bc |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
53504000000 = 214 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1475,-18750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:50:1] [129:1392:1] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
11.289874208927 |
L(r)(E,1)/r! |
Ω |
0.77816192573728 |
Real period |
R |
3.6270966992303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450f1 3344d1 |
Quadratic twists by: -4 5 |