Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792y |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
452390289408 = 220 · 33 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1921,1247] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:120:1] |
Generators of the group modulo torsion |
j |
2992209121/1725732 |
j-invariant |
L |
11.646386018684 |
L(r)(E,1)/r! |
Ω |
0.79836230108192 |
Real period |
R |
2.4313076000845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bg1 3306g1 |
Quadratic twists by: -4 8 |