Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840h |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-27410400000 = -1 · 28 · 36 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,13772] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:153:1] |
Generators of the group modulo torsion |
j |
-504871936/146875 |
j-invariant |
L |
6.2281118153663 |
L(r)(E,1)/r! |
Ω |
1.1234200569092 |
Real period |
R |
2.7719425948748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16920l1 3760c1 |
Quadratic twists by: -4 -3 |