Atkin-Lehner |
2+ 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760i |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.7523994426627E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 6 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1808120,85072400] |
[a1,a2,a3,a4,a6] |
Generators |
[-1280:17340:1] |
Generators of the group modulo torsion |
j |
319209457524076715762/183222629036265625 |
j-invariant |
L |
10.474221155595 |
L(r)(E,1)/r! |
Ω |
0.14479864117347 |
Real period |
R |
0.7535047945551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27880f2 |
Quadratic twists by: -4 |